Research Explorer

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Researcher

Michael Ruzhansky

Publications & Research Data

Awards & Distinctions

435 Results

2026

Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups

Sekhar GhoshVishvesh KumarMichael Ruzhansky

A1 Journal Article in CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Cylindrical extensions of critical Sobolev type inequalities and identities

Michael RuzhanskyYerkin ShaimerdenovNurgissa Yessirkegenov

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Fujita exponent for heat equation with Hörmander vector fields

Marianna ChatzakouAidyn KassymovMichael Ruzhansky

A1 Journal Article in ANNALI DI MATEMATICA PURA ED APPLICATA

Heat equation with singular thermal conductivity

Michael RuzhanskyMohammed Elamine SebihNiyaz Tokmagambetov

A1 Journal Article in REPORTS ON MATHEMATICAL PHYSICS

Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications

Michael RuzhanskySerikbol ShaimardanKanat Tulenov

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Lp-Lq boundedness of Fourier multipliers on quantum Euclidean spaces

Michael RuzhanskySerikbol ShaimardanKanat Tulenov

A1 Journal Article in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS

Multipliers on Lie groups of exponential growth

Zhipeng SongMichael RuzhanskyYulia Kuznetsova

Nearness and solvability of non-invariant equations on stratified groups

Marianna ChatzakouMichael RuzhanskyNikos Yannakakis

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

PointExplainer : towards transparent Parkinson’s disease diagnosis

Xuechao WangSven NõmmJunqing HuangKadri MedijainenAaro ToomelaMichael Ruzhansky

A1 Journal Article in INFORMATION FUSION

Pseudo-differential operators and spectral multipliers on non-Euclidean settings

David Santiago Gómez CobosMichael RuzhanskyAlexander Cardona

Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle

Marianna ChatzakouMichael RuzhanskyAnjali Shriwastawa

A1 Journal Article in MANUSCRIPTA MATHEMATICA

The weak (1,1) boundedness of Fourier integral operators with complex phases

Duvan Cardona SanchezMichael Ruzhansky

A1 Journal Article in JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

2025

Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations

Duvan Cardona SanchezMarianna ChatzakouJulio DelgadoVishvesh KumarMichael Ruzhansky

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Anisotropic weighted Levin–Cochran–Lee type inequalities on homogeneous Lie groups

Michael RuzhanskyAnjali ShriwastawaBankteshwar Tiwari

A1 Journal Article in ANNALES FENNICI MATHEMATICI

Discrete heat equation with irregular thermal conductivity and tempered distributional data

Marianna ChatzakouAparajita DasguptaMichael RuzhanskyAbhilash Tushir

A1 Journal Article in PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Discrete Time-dependent wave equations II : semiclassical Fractional Klein-Gordon equation

Aparajita DasguptaMichael RuzhanskyAbhilash Tushir

A1 Journal Article in AEQUATIONES MATHEMATICAE

Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary

Duvan Cardona SanchezVishvesh KumarMichael RuzhanskyNiyaz Tokmagambetov

A2 Journal Article in ADVANCES IN OPERATOR THEORY

Fourier multipliers and their applications to PDE on the quantum Euclidean space

Michael RuzhanskySerikbol ShaimardanKanat Tulenov

A1 Journal Article in NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Hardy and Rellich Inequalities with Bessel Pairs

Michael RuzhanskyBolys Sabitbek

A1 Journal Article in PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY

Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case

Markos Fisseha YimerLars-Erik PerssonMichael RuzhanskyNatasha SamkoTsegaye Gedif Ayele

A1 Journal Article in MATHEMATICAL INEQUALITIES & APPLICATIONS

Heat equation for Sturm–Liouville operator with singular propagation and potential

Michael RuzhanskyAlibek Yeskermessuly

A2 Journal Article in JOURNAL OF APPLIED ANALYSIS

Higher-order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces : the critical case

Vishvesh KumarShyam Swarup MondalMichael RuzhanskyBerikbol Torebek

A1 Journal Article in JOURNAL OF EVOLUTION EQUATIONS

Instantaneous blow-up solutions for nonlinear Sobolev-type equations on the Heisenberg groups

Meiirkhan BorikhanovMichael RuzhanskyBerikbol Torebek

A1 Journal Article in DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S

Integro-differential diffusion equations on graded Lie groups

Joel RestrepoMichael RuzhanskyBerikbol Torebek

A1 Journal Article in ASYMPTOTIC ANALYSIS

Inverse problem of determining time-dependent leading coefficient in the time-fractional heat equation

Daurenbek SerikbaevMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

Inverse source problems for time-fractional nonlinear pseudoparabolic equations with p-Laplacian

Khonatbek KhompyshMichael Ruzhansky

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

L^p‐bounds in Safarov pseudo‐differential calculus on manifolds with bounded geometry

David Santiago Gómez CobosMichael Ruzhansky

A1 Journal Article in JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

Levin–Cochran–Lee inequalities and best constants on homogeneous groups

Michael RuzhanskyMarkos Fisseha Yimer

A1 Journal Article in AEQUATIONES MATHEMATICAE

Liouville-type theorem for higher order Hardy-Hénon type systems on the sphere

Rong ZhangVishvesh KumarMichael Ruzhansky

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Lp-Lq boundedness of continuous linear operators on smooth manifolds

Duvan Cardona SanchezVishvesh KumarMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in ANNALS OF FUNCTIONAL ANALYSIS

Lp-Lq boundedness of pseudo-differential operators on graded Lie groups

Duvan Cardona SanchezVishvesh KumarMichael Ruzhansky

A2 Journal Article in NEW YORK JOURNAL OF MATHEMATICS

Lp-Lq estimates for subelliptic pseudo-differential operators on compact Lie groups

Duvan Cardona SanchezJulio DelgadoVishvesh KumarMichael Ruzhansky

A1 Journal Article in OSAKA JOURNAL OF MATHEMATICS

Schatten classes on noncommutative tori : Kernel conditions

Michael RuzhanskyKai Zeng

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Schatten-von Neumann classes of tensors of invariant operators

Julio DelgadoLiliana PosadaMichael Ruzhansky

A1 Journal Article in JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS

Semilinear wave inequalities with double damping and potential terms on Riemannian manifolds

Mohamed JleliMichael RuzhanskyBessem SametBerikbol Torebek

A1 Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

Sobolev inequality and its applications to nonlinear PDE on noncommutative Euclidean spaces

Michael RuzhanskySerikbol ShaimardanKanat Tulenov

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

The Prabhakar fractional q-integral and q-differential operators, and their properties

Serikbol ShaimardanErkinjon KarimovMichael RuzhanskyAzizbek Mamanazarov

A1 Journal Article in FILOMAT

Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order

Manoj KumarVishvesh KumarMichael Ruzhansky

A1 Journal Article in INTERNATIONAL JOURNAL OF MATHEMATICS

Variational modeling and (semi)-sparsity generalizations for image analysis and processing : theory, optimization and applications

Junqing HuangMichael RuzhanskyHaihui Wang

Wave equations for the fractional Sturm-Liouville operator with singular coefficients

Michael RuzhanskyMohammed SebihAlibek Yeskermessuly

A1 Journal Article in FILOMAT

2024

A cauchy problem for q-heat equation

Serikbol Shaimardan

A direct method of moving planes for logarithmic Schrodinger operator

Rong ZhangVishvesh KumarMichael Ruzhansky

A1 Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

A direct method of moving planes for logarithmic Schrödinger operator

A note on a Capelli operator and its resonance

Roberto Bramati

A note on best constants for weighted integral Hardy inequalities on homogeneous groups

Michael RuzhanskyAnjali ShriwastawaBankteshwar Tiwari

A1 Journal Article in RESULTS IN MATHEMATICS

A note on boundedness properties of pseudo-differential operators on rank one symmetric spaces of noncompact type

A note on L^p-L^q boundedness of Fourier multipliers on noncommutative spaces

Michael RuzhanskyKanat Tulenov

An efficient neural network for the diagnosis of Parkinson’s disease using dynamic handwriting analysis

Xuechao WangSven NõmmJunqing HuangMarianna ChatzakouMichael Ruzhansky

An estimate for the multivariate Mittag-Leffler function

Frederick MaesKarel Van Bockstal

Anisotropic Shannon inequality

Marianna ChatzakouAidyn KassymovMichael Ruzhansky

A1 Journal Article in OSAKA JOURNAL OF MATHEMATICS

Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity

Vishvesh KumarJoel RestrepoMichael Ruzhansky

A1 Journal Article in RESULTS IN MATHEMATICS

Boundedness of Fourier multipliers on fundamental domains of lattices

Classical inequalities for all Fourier matrix coefficients of SL(2, R) and their applications

Vishvesh KumarTapendu RanaMichael Ruzhansky

Classical inequalities for all Fourier matrix coefficients of SL(2,R) and their applications

Vishvesh KumarTapendu RanaMichael Ruzhansky

Compact embeddings, eigenvalue problems, and subelliptic Brezis–Nirenberg equations involving singularity on stratified Lie groups

Sekhar GhoshVishvesh KumarMichael Ruzhansky

A1 Journal Article in MATHEMATISCHE ANNALEN

Comparison of one- two- and three-dimensional CNN models for drawing-test-based diagnostics of the Parkinson’s disease

Xuechao WangJunqing HuangMarianna ChatzakouSven NõmmElli VallaKadri MedijainenPille TabaAaro ToomelaMichael Ruzhansky

A1 Journal Article in BIOMEDICAL SIGNAL PROCESSING AND CONTROL

Dunkl analysis and application to inverse source problems

Bayan BekbolatMichael RuzhanskyNiyaz Tokmagambetov

Extended abstracts 2021/2022 : Ghent Analysis and PDE Seminar

Fujita-type results for the degenerate parabolic equations on the Heisenberg groups

Ahmad Z. FinoMichael RuzhanskyBerikbol Torebek

A1 Journal Article in NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Functional inequalities on symmetric spaces of noncompact type and applications

Aidyn KassymovVishvesh KumarMichael Ruzhansky

A1 Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

Generalised Hardy type and Rellich type inequalities on the Heisenberg group

Abimbola AbolarinwaMichael Ruzhansky

A1 Journal Article in JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS

Generic bessel potential spaces on Lie groups

Duvan Cardona SanchezRoland DuduchavaArne HendrickxMichael Ruzhansky

Heat and wave type equations with nonlocal operators : I. compact Lie groups

Wagner Augusto Almeida de MoraesJoel RestrepoMichael Ruzhansky

A1 Journal Article in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications

Michael RuzhanskySerikbol ShaimardanKanat Tulenov

Inverse problem of determining a time-dependent source in a fractional Langevin-type partial differential equation

Bakhodirjon Toshtemirov

Inverse problems for time-fractional mixed equation involving the Caputo fractional derivative

Erkinjon KarimovNiyaz TokmagambetovShokhzodbek Khasanov

Inverse source problems in thermoelasticity

Karel Van Bockstal

L^p-L^q estimates for non-local heat and wave type equations on locally compact groups

David Santiago Gómez CobosJoel RestrepoMichael Ruzhansky

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

L^p-L^q norms of spectral multipliers

David Rottensteiner

Links between regularity and inequalities on compact Lie groups

André Pedroso KowacsAlexandre KirilovMichael Ruzhansky

Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity

Vishvesh KumarMichael RuzhanskyRong Zhang

A1 Journal Article in ANNALES FENNICI MATHEMATICI

Log-Sobolev and Nash inequalities on graded groups

Marianna Chatzakou

Logarithmic Sobolev inequalities of fractional order on noncommutative tori

Logarithmic Sobolev-type inequalities on Lie groups

Marianna ChatzakouAidyn KassymovMichael Ruzhansky

A1 Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

Lp-Lq Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type

Tapendu RanaMichael Ruzhansky

LSTM-CNN : an efficient diagnostic network for Parkinson's disease utilizing dynamic handwriting analysis

Xuechao WangJunqing HuangMarianna ChatzakouKadri MedijainenAaro ToomelaSven NommMichael Ruzhansky

A1 Journal Article in COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE

Modern problems in PDEs and applications : extended abstracts of the 2023 GAP Center Summer School

On a mixed equation involving Prabhakar fractional order integral-differential operators

Erkinjon KarimovNiyaz TokmagambetovMuzaffar Toshpulatov

On geometric properties of ℓp-spaces on unitary duals of compact groups

Meiram AkhymbekMichael RuzhanskyKanat Tulenov

On inverse source problems for space-dependent sources in thermoelasticity

Frederick MaesKarel Van Bockstal

On q²-analogue of the one-dimensional non-homogeneous heat equation

Performing particle image segmentation on an extremely small dataset

Marianna ChatzakouJunqing HuangBogdan ParakhonskiyMichael RuzhanskyAndre SkirtachJunnan SongXuechao Wang

Revised logarithmic Sobolev inequalities of fractional order

Marianna ChatzakouMichael Ruzhansky

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

Schatten-von Neumann classes Sp on the torus for 0 < p ≤ 2

Duvan Cardona Sanchez

Semi-classical pseudo-differential operators on hZ^n and applications

Linda N. A. BotchwayMarianna ChatzakouMichael Ruzhansky

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Semi-sparsity for triangular mesh denoising

Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order

Aparajita DasguptaVishvesh KumarShyam Swarup MondalMichael Ruzhansky

A1 Journal Article in JOURNAL OF EVOLUTION EQUATIONS

Smoothing and Strichartz estimates for degenerate Schrödinger-type equations

Serena FedericoMichael Ruzhansky

A1 Journal Article in NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Sobolev inequality and its applications to nonlinear PDE on noncommutative Euclidean spaces

Michael RuzhanskySerikbol ShaimardanKanat Tulenov

Text matching as time series matching

The principal symbol of elliptic differential operators on Lie groups and homogeneous spaces

Alexander CardonaDavid Santiago Gómez Cobos

The unitary dual of the Heisenberg group over Rp

Juan Pablo Velasquez Rodriguez

Titchmarsh theorem by modulus of continuity for the deformed Hankel–Lipschitz classes

Vishvesh KumarJoel Restrepo

Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on fundamental domains of lattices in R^d

Very weak solution of the discrete heat equation with irregular time-dependent thermal conductivity

Marianna ChatzakouAbhilash Tushir

Wave equation for Sturm-Liouville operator with singular potentials

Michael RuzhanskySerikbol ShaimardanAlibek Yeskermessuly

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2023

A light-weight CNN model for efficient Parkinson's disease diagnostics

Xuechao WangJunqing HuangMarianna ChatzakouKadri MedijainenPille TabaAaro ToomelaSven NommMichael Ruzhansky

A note on the polar decomposition in metric spaces

Zhirayr AvetisyanMichael Ruzhansky

A2 Journal Article in JOURNAL OF MATHEMATICAL SCIENCES

An update on the Lp-Lq norms of spectral multipliers on unimodular Lie groups

David RottensteinerMichael Ruzhansky

A1 Journal Article in ARCHIV DER MATHEMATIK

Blow-up solutions of damped Klein–Gordon equation on the Heisenberg group

Michael RuzhanskyBolys Sabitbek

A2 Journal Article in EUROPEAN JOURNAL OF MATHEMATICS

Contributions to the theory of pseudo-differential operators : from compact to graded Lie groups

Duvan Cardona SanchezMichael RuzhanskyJulio Delgado

Control of the Cauchy problem on Hilbert spaces : a global approach via symbol criteria

Duvan Cardona SanchezJulio DelgadoBrian GrajalesMichael Ruzhansky

A1 Journal Article in COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Fourier multipliers for Hardy spaces on graded Lie groups

Qing HongGuorong HuMichael Ruzhansky

A1 Journal Article in PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Generalized fractional Dirac type operators

Joel RestrepoMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified groups

Michael RuzhanskyBolys SabitbekBerikbol Torebek

A1 Journal Article in MANUSCRIPTA MATHEMATICA

Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary

Duvan Cardona SanchezVishvesh KumarMichael RuzhanskyNiyaz Tokmagambetov

A2 Journal Article in ADVANCES IN OPERATOR THEORY

Hardy inequalities on metric measure spaces, III : the case q<=p<0 and applications

A. KassymovMichael RuzhanskyD. Suragan

A1 Journal Article in PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Intrinsic image transfer for illumination manipulation

Junqing HuangMichael RuzhanskyQianying ZhangHaihui Wang

A1 Journal Article in IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Inverse problems for evolutionary equations for positive operators

Daurenbek SerikbaevNiyaz TokmagambetovMichael Ruzhansky

L^p -L^q boundedness of Fourier multipliers on quantum Euclidean spaces

Michael RuzhanskySerikbol ShaimardanKanat Tulenov

Lp-Lq boundedness of (k, a)-Fourier multipliers with applications to nonlinear equations

Vishvesh KumarMichael Ruzhansky

A1 Journal Article in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Lp-Lq multipliers on commutative hypergroups

Vishvesh KumarMichael Ruzhansky

A1 Journal Article in JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY

New characterizations of harmonic hardy spaces

Joel RestrepoDurvudkhan Suragan

Bookchapter in Harmonic analysis and partial differential equations

Oscillating singular integral operators on compact Lie groups revisited

Duvan Cardona SanchezMichael Ruzhansky

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

Pseudo-differential operators on radial sections of line bundles over the Poincaré upper half plane

Tapendu RanaMichael Ruzhansky

Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation

Meiirkhan B. BorikhanovMichael RuzhanskyBerikbol Torebek

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

Rayleigh–Faber–Krahn, Lyapunov and Hartmann–Wintner inequalities for fractional elliptic problems

Aidyn KassymovMichael RuzhanskyBerikbol Torebek

A1 Journal Article in MEDITERRANEAN JOURNAL OF MATHEMATICS

Schrödinger equation with singular position dependent mass

Michael RuzhanskyMohammed Elamine SebihNiyaz Tokmagambetov

A1 Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

Semi-sparsity for smoothing filters

Junqing HuangHaihui WangXuechao WangMichael Ruzhansky

A1 Journal Article in IEEE TRANSACTIONS ON IMAGE PROCESSING

Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative

Erkinjon KarimovMichael RuzhanskyBakhodirjon Toshtemirov

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Stein-Weiss-Adams inequality on Morrey spaces

Aidyn KassymovMaria Alessandra RagusaMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

Symmetry of positive solutions for lane-emden systems involving the logarithmic Laplacian

Rong ZhangVishvesh KumarMichael Ruzhansky

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

Wave equation for Sturm–Liouville operator with singular intermediate coefficient and potential

Michael RuzhanskyAlibek Yeskermessuly

A1 Journal Article in BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

2022

A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups

Michael RuzhanskyNurgissa Yessirkegenov

A1 Journal Article in NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and p-sub-Laplacian systems

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in POTENTIAL ANALYSIS

Björk–Sjölin condition for strongly singular convolution operators on graded Lie groups

Duvan Cardona SanchezMichael Ruzhansky

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

Cauchy type problems for fractional differential equations

Erkinjon KarimovMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states

Michael RuzhanskyNurgissa Yessirkegenov

A1 Journal Article in COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

Determinants and Plemelj-Smithies formulas

Duvan Cardona SanchezJulio DelgadoMichael Ruzhansky

A1 Journal Article in MONATSHEFTE FUR MATHEMATIK

Direct and inverse problems for singular partial differential equations with fractional order integral-differential operators

Bakhodirjon ToshtemirovErkinjon KarimovMichael Ruzhansky

Direct and inverse problems for time-fractional pseudo-parabolic equations

Michael RuzhanskyDaurenbek SerikbaevNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in QUAESTIONES MATHEMATICAE

Discrete time-dependent wave equations : I. Semiclassical analysis

Aparajita DasguptaMichael RuzhanskyAbhilash Tushir

A1 Journal Article in JOURNAL OF DIFFERENTIAL EQUATIONS

Drift diffusion equations with fractional diffusion on compact Lie groups

Duvan Cardona SanchezJulio DelgadoMichael Ruzhansky

A1 Journal Article in JOURNAL OF EVOLUTION EQUATIONS

Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups

Michael RuzhanskyNurgissa Yessirkegenov

A1 Journal Article in JOURNAL OF DIFFERENTIAL EQUATIONS

Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups

Duvan Cardona SanchezMichael Ruzhansky

A1 Journal Article in COLLECTANEA MATHEMATICA

Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case

Marianna ChatzakouMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Fractional Schrödinger equations with singular potentials of higher order : II. hypoelliptic case

Marianna ChatzakouMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in REPORTS ON MATHEMATICAL PHYSICS

Global properties of vector fields on compact Lie groups in Komatsu classes : II. Normal forms

Alexandre KirilovWagner A. A. de MoraesMichael Ruzhansky

A1 Journal Article in COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature

Michael RuzhanskyNurgissa Yessirkegenov

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Hardy-Littlewood inequality and Lp-Lq Fourier multipliers on compact hypergroups

Vishvesh KumarMichael Ruzhansky

A1 Journal Article in JOURNAL OF LIE THEORY

Harmonic analysis and partial differential equations

Harmonic and anharmonic oscillators on the Heisenberg group

David RottensteinerMichael Ruzhansky

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Nonlocal elliptic problems : well-posedness and spectral properties

Aishabibi DukenbayevaSadybekov Makhmud AbdysametovichMichael Ruzhansky

Norms of certain functions of a distinguished Laplacian on the ax+b groups

Rauan AkylzhanovYulia KuznetsovaMichael RuzhanskyHaonan Zhang

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

On a class of anharmonic oscillators : II. General case

Marianna ChatzakouJulio DelgadoMichael Ruzhansky

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

Reverse integral Hardy inequality on metric measure spaces

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in ANNALES FENNICI MATHEMATICI

Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in FORUM MATHEMATICUM

Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators

Duvan Cardona SanchezMichael Ruzhansky

A1 Journal Article in ARCHIV DER MATHEMATIK

Smoothing effect and Strichartz estimates for some time-degenerate Schrödinger equations

Serena Federico

Bookchapter in Harmonic analysis and partial differential equations

Systems of differential equations of Gaussian hypergeometric functions in three variables and their linearly-independent solutions

A. HasanovMichael Ruzhansky

A4 Journal Article in BULLETIN OF THE INSTITUTE OF MATHEMATICS

The heat equation with singular potentials : II. hypoelliptic case

Marianna ChatzakouMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

The Wodzicki residue for pseudo-differential operators on compact Lie groups

Duvan Cardona Sanchez

Bookchapter in Harmonic analysis and partial differential equations

Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4

Michael RuzhanskyAkbar R. SafarovGafurjan A. Khasanov

A1 Journal Article in ANALYSIS AND MATHEMATICAL PHYSICS

Well-posedness of Tricomi–Gellerstedt–Keldysh-type fractional elliptic problems

Michael RuzhanskyBerikbol TorebekBatirkhan Turmetov

A1 Journal Article in JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS

2021

A note on K-functional, modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces

Vishvesh KumarMichael Ruzhansky

A1 Journal Article in JOURNAL OF APPROXIMATION THEORY

Approximations in L-1 with convergent Fourier series

Zhirayr AvetisyanMartin GrigoryanMichael Ruzhansky

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

Eigenfunction expansions of ultradifferentiable functions and ultradistributions : III. Hilbert spaces and universality

Aparajita DasguptaMichael Ruzhansky

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Explicit solutions for linear variable–coefficient fractional differential equations with respect to functions

Joel E. RestrepoMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

Fourier multipliers on graded Lie groups

Véronique FischerMichael Ruzhansky

A1 Journal Article in COLLOQUIUM MATHEMATICUM

Fractional Klein-Gordon equation with singular mass

Arshyn AltybayMichael RuzhanskyMohammed Elamine SebihNiyaz Tokmagambetov

A1 Journal Article in CHAOS SOLITONS & FRACTALS

Fractional Schrödinger equation with singular potentials of higher order

Arshyn AltybayMichael RuzhanskyMohammed Elamine SebihNiyaz Tokmagambetov

A1 Journal Article in REPORTS ON MATHEMATICAL PHYSICS

Geometric Hardy inequalities on starshaped sets

Michael RuzhanskyBolys SabitbekDurvudkhan Suragan

A1 Journal Article in JOURNAL OF CONVEX ANALYSIS

Global hypoellipticity and global solvability for vector fields on compact Lie groups

Alexandre KirilovWagner Augusto Almeida de MoraesMichael Ruzhansky

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

Global properties of vector fields on compact Lie groups in Komatsu classes

Alexandre KirilovWagner Augusto Almeida de MoraesMichael Ruzhansky

A1 Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

Hardy inequalities on metric measure spaces : II. The case p>q

Michael RuzhanskyDaulti Verma

A1 Journal Article in PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Lp-bounds for pseudo-differential operators on graded Lie groups

Duvan Cardona SanchezJulio DelgadoMichael Ruzhansky

A1 Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

Non‐harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary

Michael RuzhanskyJuan Pablo Velasquez Rodriguez

A1 Journal Article in MATHEMATISCHE NACHRICHTEN

On a class of anharmonic oscillators

Marianna ChatzakouJulio DelgadoMichael Ruzhansky

A1 Journal Article in JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Principal frequency of p-sub-Laplacians for general vector fields

Michael RuzhanskyBolys SabitbekDurvudkhan Suragan

A1 Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

Schatten-von Neumann classes of integral operators

Julio DelgadoMichael Ruzhansky

A1 Journal Article in JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives

Aidyn KassymovMichael RuzhanskyNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in BANACH JOURNAL OF MATHEMATICAL ANALYSIS

Some properties relating to the Mittag–Leffler function of two variables

Maged G. Bin-SaadAnvar HasanovMichael Ruzhansky

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Subelliptic Gevrey spaces

Véronique FischerMichael RuzhanskyChiara Alba Taranto

A1 Journal Article in MATHEMATISCHE NACHRICHTEN

The heat equation with strongly singular potentials

Arshyn AltybayMichael RuzhanskyMohammed Elamine SebihNiyaz Tokmagambetov

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

Time-dependent wave equations on graded groups

Michael RuzhanskyChiara Alba Taranto

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

Van der Corput lemmas for Mittag-Leffler functions. II. α–directions

Michael RuzhanskyBerikbol Torebek

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

2020

A parallel hybrid implementation of the 2D acoustic wave equation

Arshyn AltybayMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Basic functional and geometric inequalities for the fractional order operators on homogenous Lie groups

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations

Michael RuzhanskyNiyaz TokmagambetovNurgissa Yessirkegenov

A1 Journal Article in CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group

Michael RuzhanskyNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Difference equations and pseudo-differential operators on ℤⁿ

Linda N. A. BotchwayP. Gaël KibitiMichael Ruzhansky

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups

Michael RuzhanskyDurvudkhan SuraganNurgissa Yessirkegenov

A1 Journal Article in SEMIGROUP FORUM

Factorizations and Hardy-Rellich inequalities on stratified groups

Michael RuzhanskyNurgissa Yessirkegenov

A1 Journal Article in JOURNAL OF SPECTRAL THEORY

Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Function spaces on Lie groups and applications

Nurgissa YessirkegenovMichael Ruzhansky

Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups

Michael RuzhanskyBolys SabitbekDurvudkhan Suragan

A1 Journal Article in BULLETIN OF MATHEMATICAL SCIENCES

Green's identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in POTENTIAL ANALYSIS

Hardy and Rellich inequalities for anisotropic p-sub-Laplacians

Michael RuzhanskyB. SabitbekD. Suragan

A1 Journal Article in BANACH JOURNAL OF MATHEMATICAL ANALYSIS

Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds

Vishvesh KumarMichael Ruzhansky

A1 Journal Article in INDAGATIONES MATHEMATICAE-NEW SERIES

Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II : microlocal analysis

Claudia GarettoChristian JähMichael Ruzhansky

A1 Journal Article in JOURNAL OF DIFFERENTIAL EQUATIONS

Hypergeometric expansions of solutions of the degenerating model parabolic equations of the third order

A. HasanovMichael Ruzhansky

A2 Journal Article in LOBACHEVSKII JOURNAL OF MATHEMATICS

Lp-Lq multipliers on locally compact groups

Rauan AkylzhanovMichael Ruzhansky

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

Multidimensional van der Corput-type estimates involving Mittag-Leffler functions

Michael RuzhanskyBerikbol Torebek

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

Non-local initial problem for second order time-fractional and space-singular equation

Erkinjon KarimovMurat MamchuevMichael Ruzhansky

A1 Journal Article in HOKKAIDO MATHEMATICAL JOURNAL

On a non-local problem for a multi-term fractional diffusion-wave equation

Michael RuzhanskyNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

Partial Fourier series on compact Lie groups

Alexandre KirilovWagner Augusto Almeida de MoraesMichael Ruzhansky

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

Pseudo-differential operators with nonlinear quantizing functions

Massimiliano EspositoMichael Ruzhansky

A1 Journal Article in PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Re-expansions on compact Lie groups

Rauan AkylzhanovElijah LiflyandMichael Ruzhansky

A1 Journal Article in ANALYSIS AND MATHEMATICAL PHYSICS

Self-similar solutions of some model degenerate partial differential equations of the second, third, and fourth order

Michael RuzhanskyA. Hasanov

A2 Journal Article in LOBACHEVSKII JOURNAL OF MATHEMATICS

Spectral geometry of partial differential operators

Michael RuzhanskyMakhmud SadybekovDurvudkhan Suragan

Spectral identities and smoothing estimates for evolution operators

Matania Ben-ArtziMichael RuzhanskyMitsuru Sugimoto

A1 Journal Article in ADVANCES IN DIFFERENTIAL EQUATIONS

Subelliptic geometric Hardy type inequalities on half-spaces and convex domains

Michael RuzhanskyBolys SabitbekDurvudkhan Suragan

A1 Journal Article in ANNALS OF FUNCTIONAL ANALYSIS

The dixmier trace and the noncommutative residue for multipliers on compact manifolds

Duvan Cardona SanchezCésar Del Corral

The harmonic oscillator on the Heisenberg group

David RottensteinerMichael Ruzhansky

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Using scanning electron microscopy and atomic force microscopy to study the formation of nanoparticles on red blood cell surface in cervical cancer patients

Sargylana MamaevaIrina KononovaMichael RuzhanskyPetr NikiforovNadezhda NikolaevаAlexandr PavlovNyurguyna FedorovaJunqing HuangMotrena SemenovaDaiaana Barashkova et al.

A2 Journal Article in INTERNATIONAL JOURNAL OF BIOMEDICINE

Very weak solutions to hypoelliptic wave equations

Michael RuzhanskyNurgissa Yessirkegenov

A1 Journal Article in JOURNAL OF DIFFERENTIAL EQUATIONS

2019

A local-to-global boundedness argument and Fourier integral operators

Michael RuzhanskyMitsuru Sugimoto

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Acoustic and shallow water wave propagation with irregular dissipation

JC MuñozMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS

An inverse problem for the pseudo-parabolic equation for Laplace operator

Michael RuzhanskyD. SerikbaevN. Tokmagambetov

A2 Journal Article in INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS

Analysis and partial differential equations: perspectives from developing countries : Imperial College London, UK, 2016

Critical Hardy inequalities

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

Feature extraction for license plate location based on L0-norm smoothing

Junqing HuangMichael RuzhanskyHaoxiang FengLingfang ZhengXin HuangHaihui Wang

A2 Journal Article in OPEN COMPUTER SCIENCE

Global properties of vector fields on compact Lie groups in Komatsu classes : II : normal forms

Alexandre KirilovWagner Augusto Almeida de MoraesMichael Ruzhansky

Global properties of vector fields on compact Lie groups in Komatsu classes

Alexandre KirilovWagner Augusto Almeida de MoraesMichael Ruzhansky

Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field, part I

Ari LaptevMichael RuzhanskyNurgissa Yessirkegenov

A1 Journal Article in MATHEMATICA SCANDINAVICA

Hardy inequalities on homogeneous groups : 100 years of Hardy inequalities

Michael RuzhanskyDurvudkhan Suragan

Hardy inequalities on metric measure spaces

Michael RuzhanskyDaulti Verma

A1 Journal Article in PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds

Rauan AkylzhanovMichael RuzhanskyErlan Nursultanov

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Hardy-Sobolev type inequalities on homogeneous groups and applications

Bolys SabitbekMichael RuzhanskyTynysbek Sharipovich Kal'menov

Inverse source problems for positive operators, I : hypoelliptic diffusion and subdiffusion equations

Michael RuzhanskyNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in JOURNAL OF INVERSE AND ILL-POSED PROBLEMS

Limiting cases of Sobolev inequalities on stratified groups

Michael RuzhanskyNurgissa Yessirkegenov

A1 Journal Article in PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES

Lp-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups

Tohru OzawaMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in QUARTERLY JOURNAL OF MATHEMATICS

New progress on weighted Trudinger-Moser and Gagliardo-Nirenberg, and critical Hardy inequalities on stratified groups

Michael RuzhanskyNurgissa Yessirkegenov

Bookchapter in Landscapes of time-frequency analysis

Non linear tau quantizing functions and a version of the Weyl quantization on Zn

Massimiliano EspositoMichael Ruzhansky

On nonlinear damped wave equations for positive operators, I : discrete spectrum

Michael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in DIFFERENTIAL AND INTEGRAL EQUATIONS

On nuclear Lp-multipliers associated to the harmonic oscillator

Edgardo Samuel BarrazaDuvan Cardona Sanchez

On spectral and boundary properties of the volume potential for the Helmholtz equation

Tynysbek Sharipovich Kal'menovMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in MATHEMATICAL MODELLING OF NATURAL PHENOMENA

On the Gevrey well-posedness of the Kirchhoff equation

Tokio MatsuyamaMichael Ruzhansky

A1 Journal Article in JOURNAL D ANALYSE MATHEMATIQUE

Quantizations on Nilpotent Lie groups and algebras having flat coadjoint orbits

M MăntoiuMichael Ruzhansky

A1 Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

Rellich inequalities for sub-Laplacians with drift

Michael RuzhanskyNurgissa Yessirkegenov

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Short time pseudo-differential operators

Thomas BakerMichael Ruzhansky

Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds

Radouan DaherJulio DelgadoMichael Ruzhansky

A1 Journal Article in MONATSHEFTE FUR MATHEMATIK

Wave equation for 2D Landau Hamiltonian

Michael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in APPLIED AND COMPUTATIONAL MATHEMATICS

Wave equation with distributional propagation speed and mass term : numerical simulations

Arshyn AltybayMichael RuzhanskyNiyaz Tokmagambetov

A2 Journal Article in APPLIED MATHEMATICS E-NOTES

Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters

Juan Carlos MuñozMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Weighted anisotropic Hardy and Rellich type inequalities for general vector fields

Michael RuzhanskyBolys SabitbekDurvudkhan Suragan

A1 Journal Article in NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups

Michael RuzhanskyBolys SabitbekDurvudkhan Suragan

A1 Journal Article in REVISTA MATEMATICA COMPLUTENSE

2018

A comparison principle for nonlinear heat Rockland operators on graded groups

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

A note on stability of Hardy inequalities

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in ANNALS OF FUNCTIONAL ANALYSIS

Advanced topics in mathematical analysis

Convolution, Fourier analysis, and distributions generated by Riesz bases

Michael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in MONATSHEFTE FUR MATHEMATIK

Eigenfunction expansions of ultradifferentiable functions and ultradistributions, II : tensor representations

Aparajita DasguptaMichael Ruzhansky

A2 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. SERIES B

Elements of Potential Theory on Carnot Groups

Michael RuzhanskyD Suragan

A1 Journal Article in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS

Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for Lp-weighted Hardy inequalities

Michael RuzhanskyDurvudkhan SuraganNurgissa Yessirkegenov

A2 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. SERIES B

Fourier multipliers in Hilbert spaces

Julio DelgadoMichael Ruzhansky

Fourier multipliers, symbols, and nuclearity on compact manifolds

Julio DelgadoMichael Ruzhansky

A1 Journal Article in JOURNAL D ANALYSE MATHEMATIQUE

Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces

Michael RuzhanskyDurvudkhan SuraganNurgissa Yessirkegenov

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I : well-posedness

Claudia GarettoChristian JähMichael Ruzhansky

A1 Journal Article in MATHEMATISCHE ANNALEN

Inverse problems for parabolic equations with infinite horizon

Ilyas ShakenovMichael Ruzhansky

Lp-Lq Fourier multipliers on locally compact groups

Rauan AkylzhanovMichael Ruzhansky

Mathematical analysis and applications : selected topics

Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups

Michael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in JOURNAL OF DIFFERENTIAL EQUATIONS

On a very weak solution of the wave equation for a Hamiltonian in a singular electromagnetic field

Michael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in MATHEMATICAL NOTES

Smooth dense subalgebras and Fourier multipliers on compact quantum groups

Rauan AkylzhanovShahn MajidMichael Ruzhansky

A1 Journal Article in COMMUNICATIONS IN MATHEMATICAL PHYSICS

Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups

Michael RuzhanskyDurvudkhan SuraganNurgissa Yessirkegenov

A1 Journal Article in INTEGRAL EQUATIONS AND OPERATOR THEORY

The bounded approximation property of variable Lebesgue spaces and nuclearity

Julio DelgadoMichael Ruzhansky

A1 Journal Article in MATHEMATICA SCANDINAVICA

Wave equations on graded groups and hypoelliptic Gevrey spaces

Chiara TarantoMichael Ruzhansky

Об очень слабом решении волнового уравнения для гамильтониана в сингулярном электромагнитном поле

Michael RuzhanskyNiyaz Tokmagambetov

A4 Journal Article in MATEMATIČESKIE ZAMETKI

2017

Advances in real and complex analysis with applications

Almost global well-posedness of Kirchhoff equation with Gevrey data

Tokio MatsuyamaMichael Ruzhansky

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Anisotropic L²-weighted Hardy and L²-Caffarelli-Kohn-Nirenberg inequalities

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups

Michael RuzhanskyDurvudkhan SuraganNurgissa Yessirkegenov

A1 Journal Article in NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Extended Caffarelli-Kohn-Nirenberg inequalities and superweights for Lp-weighted Hardy inequalities

Michael RuzhanskyDurvudkhan SuraganNurgissa Yessirkegenov

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Functional analysis in interdisciplinary applications

Geometric maximizers of Schatten norms of some convolution type integral operators

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in ADVANCES IN MATHEMATICS

Inverse problem for 1D pseudo-parabolic equation

Khonatbek Khompysh

Isoperimetric inequalities for some integral operators arising in potential theory

Michael RuzhanskyDurvudkhan Suragan

Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in ADVANCES IN MATHEMATICS

Local Hardy and Rellich inequalities for sums of squares of vector fields

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in ADVANCES IN DIFFERENTIAL EQUATIONS

Lp-bounds for pseudo-differential operators on compact Lie groups

Julio DelgadoMichael Ruzhansky

A1 Journal Article in JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU

Multipliers for Besov spaces on graded Lie groups

Duvan Cardona SanchezMichael Ruzhansky

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses

R AkylzhanovMichael Ruzhansky

A2 Journal Article in EURASIAN MATHEMATICAL JOURNAL

Non-local boundary problem with integral form transmitting condition for fractional mixed type equation in a composite domain

S. KerbalErkinjon KarimovN. Rakhmatullaeva

A1 Journal Article in MATHEMATICAL MODELLING OF NATURAL PHENOMENA

Nonharmonic analysis of boundary value problems without WZ condition

Michael RuzhanskyN Tokmagambetov

A1 Journal Article in MATHEMATICAL MODELLING OF NATURAL PHENOMENA

On an ill-posed problem for the Laplace operator with data on the whole boundary

Berikbol Torebek

On boundary-value problems for a partial differential equation with Caputo and Bessel operators

Praveen AgarwalErkinjon KarimovMurat MamchuevMichael Ruzhansky

Bookchapter in Recent applications of harmonic analysis to function spaces, differential equations, and data science : novel methods in harmonic analysis, volume 2

On convolutions in Hilbert spaces

B KanguzhinMichael RuzhanskyN Tokmagambetov

A1 Journal Article in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS

On C∞ well-posedness of hyperbolic systems with multiplicities

Claudia GarettoMichael Ruzhansky

A1 Journal Article in ANNALI DI MATEMATICA PURA ED APPLICATA

On Green functions for Dirichlet sub-Laplacians on H-type groups

Nicola GarofaloMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and p-sub-Laplacian inequalities on stratified groups

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in JOURNAL OF DIFFERENTIAL EQUATIONS

On hyperbolic systems with time-dependent Hölder characteristics

Claudia GarettoMichael Ruzhansky

A1 Journal Article in ANNALI DI MATEMATICA PURA ED APPLICATA

On isoperimetric inequalities for the cauchy-robin heat operator

Aidyn KassymovM. SadybekovD. Suragan

A1 Journal Article in MATHEMATICAL MODELLING OF NATURAL PHENOMENA

On S-number inequalities of triangular cylinders for the heat operator

Tynysbek Sharipovich Kal’menovAidyn KassymovDurvudkhan Suragan

Preface for the special issue on 'Special functions and analysis of PDEs'

Michael RuzhanskyP. AgarwalI. AreaErkinjon Karimov

Editorial material

Pseudo-differential calculus on generalized motion groups

Binh-Khoi NguyenMichael Ruzhansky

Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups

Mark MantoiuMichael Ruzhansky

A1 Journal Article in DOCUMENTA MATHEMATICA

Remark on a regularized trace formula for m-Laplacian in a punctured domain

Gulzat NalzhupbayevaNiyaz Tokmagambetov

Schatten classes and traces on compact groups

Julio DelgadoMichael Ruzhansky

A1 Journal Article in MATHEMATICAL RESEARCH LETTERS

Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary

Julio DelgadoMichael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Sobolev spaces on graded Lie groups

Veronique FischerMichael Ruzhansky

A1 Journal Article in ANNALES DE L INSTITUT FOURIER

Special functions and analysis of PDEs

The Kirchhoff equation with Gevrey data

Tokio MatsuyamaMichael Ruzhansky

Uncertainty relations on nilpotent Lie groups

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Wave equation for operators with discrete spectrum and irregular propagation speed

Michael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

2016

Approximation property and nuclearity on mixed-norm Lp, modulation and Wiener amalgam spaces

J DelgadoMichael RuzhanskyB Wang

A1 Journal Article in JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

Eigenfunction expansions of ultradifferentiable functions and ultradistributions

Aparajita DasguptaMichael Ruzhansky

A1 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Fourier multipliers and group von Neumann algebras

Rauan AkylzhanovMichael Ruzhansky

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Global well-posedness and scattering for the fourth order nonlinear Schrödinger equations with small data in modulation and Sobolev spaces

Michael RuzhanskyBaoxiang WangHua Zhang

A1 Journal Article in JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces

Julio DelgadoMichael RuzhanskyBaoxiang Wang

A1 Journal Article in JOURNAL OF SPECTRAL THEORY

Hardy-Littlewood-Paley inequalities and Fourier multipliers on SU(2)

Rauan AkylzhanovErlan NurlustanovMichael Ruzhansky

A1 Journal Article in STUDIA MATHEMATICA

Hardy-Littlewood-Paley-type inequalities on compact Lie groups

RKh AkylzhanovED NursultanovMichael Ruzhansky

A1 Journal Article in MATHEMATICAL NOTES

Information system and mathematical models of sustainable and optimal complex electric power systems

Assel AbdildayevaMichael Ruzhansky

Isoperimetric inequalities for Schatten norms of Riesz potentials

G RozenblumMichael RuzhanskyD Suragan

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

Isoperimetric inequalities for the logarithmic potential operator

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Methods of Fourier analysis and approximation theory

Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds

Erlan NursultanovMichael RuzhanskySergey Tikhonov

A1 Journal Article in ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE

Nonharmonic analysis of boundary value problems

Michael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in BULLETIN OF MATHEMATICAL SCIENCES

On Kac’s principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group

Michael RuzhanskyDurvudkhan Suragan

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

On Schatten norms of convolution-type integral operators

Michael RuzhanskyD Suragan

A1 Journal Article in RUSSIAN MATHEMATICAL SURVEYS

Preface to the special issue on 'Mathematical modelling in applied sciences'

Abdumauvlen BerdyshevMaksat KalimoldayevMichael Ruzhansky

Editorial material

Quantization on nilpotent Lie groups

Veronique FischerMichael Ruzhansky

Some problems in Fourier analysis and approximation theory

Michael RuzhanskySergey Tikhonov

Bookchapter in Methods of Fourier analysis and approximation theory

The development of an intellectual distance learning technology for visually impaired people

Asem ShayakhmetovaMichael Ruzhansky

The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups

Aparajita DasguptaMichael Ruzhansky

A1 Journal Article in JOURNAL D ANALYSE MATHEMATIQUE

Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field

Michael RuzhanskyNiyaz Tokmagambetov

A1 Journal Article in LETTERS IN MATHEMATICAL PHYSICS

2015

Analytic methods in interdisciplinary applications

Approximation properties for some classes of correct problems for differential operators

Gulzat NalzhupbayevaMichael Ruzhansky

Current trends in analysis and its applications : proceedings of the 9th ISAAC congress, Kraków 2013

Global well-posedness of the Kirchhoff equation and Kirchhoff systems

Tokio MatsuyamaMichael Ruzhansky

Green function of the dirichlet problem for the Laplacian and inhomogeneous boundary value problems for the poisson equation in a punctured domain

Baltabek KanguzhinNiyaz Tokmagambetov

Harmonic dirichlet problem in a ring sector

Ying WangJinyuan Du

Lp Fourier multipliers on compact Lie groups

Michael RuzhanskyJens Wirth

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

Nikolskii inequality and functional classes on compact Lie groups

ED NursultanovMichael RuzhanskySYu Tikhonov

A1 Journal Article in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS

On global inversion of homogeneous maps

Michael RuzhanskyMitsuru Sugimoto

A1 Journal Article in BULLETIN OF MATHEMATICAL SCIENCES

On the well-posedness of boundary value problems with integral perturbation of boundary conditions

Niyaz TokmagambetovMichael Ruzhansky

Properties of Fourier coefficients of functions from Lorentz space L_{2,r}

Guliya MussabayevaMichael Ruzhansky

Smoothing estimates for non-dispersive equations

Michael RuzhanskyMitsuru Sugimoto

A1 Journal Article in MATHEMATISCHE ANNALEN

Time-frequency analysis on the Heisenberg group

David RottensteinerMichael Ruzhansky

Trace theorems : critical cases and best constants

Michael RuzhanskyMitsuru Sugimoto

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Wave equation for sums of squares on compact Lie groups

Claudia GarettoMichael Ruzhansky

A1 Journal Article in JOURNAL OF DIFFERENTIAL EQUATIONS

2014

A note on weakly hyperbolic equations with analytic principal part

Claudia GarettoMichael Ruzhansky

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A pseudo-differential calculus on the Heisenberg group

Véronique FischerMichael Ruzhansky

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces

Aparajita DasguptaMichael Ruzhansky

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

Global functional calculus for operators on compact Lie groups

Michael RuzhanskyJens Wirth

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

Global L-p continuity of Fourier integral operators

Sandro CoriascoMichael Ruzhansky

A1 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Hyperbolic second order equations with non-regular time dependent coefficients

Claudia GarettoMichael Ruzhansky

A1 Journal Article in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity

Michael RuzhanskyVille TurunenJens Wirth

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Kernel and symbol criteria for Schatten classes and r-nuclearity on compact manifolds

Julio DelgadoMichael Ruzhansky

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Lp-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups

Julio DelgadoMichael Ruzhansky

A1 Journal Article in JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Pseudo-differential operators on homogeneous spaces

Donal ConnollyMichael Ruzhansky

Schatten classes on compact manifolds : Kernel conditions

Julio DelgadoMichael Ruzhansky

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

Spectral problems

The fourier transform and convolutions generated by a differential operator with boundary condition on a segment

Baltabek KanguzhinNiyaz Tokmagambetov

Bookchapter in Fourier analysis : pseudo-differential operators, time-frequency analysis and partial differential equations

Variable Lebesgue spaces and hyperbolic systems

David Cruz-UribeAlberto FiorenzaMichael RuzhanskyJens Wirth

2013

A pseudo-differential calculus on graded nilpotent Lie groups

Véronique FischerMichael Ruzhansky

An open problem in complex analytic geometry arising in harmonic analysis

Michael Ruzhansky

A1 Journal Article in MATHEMATICAL MODELLING OF NATURAL PHENOMENA

Cauchy problem for some 2 × 2 hyperbolic systems of pseudo-differential equations with nondiagonalisable principal part

Todor GramchevMichael Ruzhansky

Bookchapter in Studies in phase space analysis with applications to PDEs

Global quantization of pseudo-differential operators on compact Lie groups, SU(2), 3-sphere, and homogeneous spaces

Michael RuzhanskyVille Turunen

A1 Journal Article in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Global well-posedness of Kirchhoff systems

Tokio MatsuyamaMichael Ruzhansky

A1 Journal Article in JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Lower bounds for operators on graded Lie groups

Véronique FischerMichael Ruzhansky

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

On multipliers on compact Lie groups

Michael RuzhanskyJ Wirth

A1 Journal Article in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS

Progress in partial differential equations : asymptotic profiles, regularity and well-posedness

Recent progress in smoothing estimates for evolution equations

Michael RuzhanskyMitsuru Sugimoto

Bookchapter in Progress in partial differential equations : asymptotic profiles, regularity and well-posedness

Scattering for strictly hyperbolic systems with time-dependent coefficients

Tokio MatsuyamaMichael Ruzhansky

A1 Journal Article in MATHEMATISCHE NACHRICHTEN

Weakly hyperbolic equations with non-analytic coefficients and lower order terms

Claudia GarettoMichael Ruzhansky

A1 Journal Article in MATHEMATISCHE ANNALEN

2012

Evolution equations of hyperbolic and Schrödinger type : asymptotics, estimates and nonlinearities

Modulation spaces and nonlinear evolution equations

Michael RuzhanskyMitsuru SugimotoBaoxiang Wang

Bookchapter in Evolution equations of hyperbolic and Schrödinger type : asymptotics, estimates and nonlinearities

Multidimensional decay in the van der Corput lemma

Michael Ruzhansky

A1 Journal Article in STUDIA MATHEMATICA

On the well-posedness of weakly hyperbolic equations with time-dependent coefficients

Claudia GarettoMichael Ruzhansky

A1 Journal Article in JOURNAL OF DIFFERENTIAL EQUATIONS

Smoothing properties of evolution equations via canonical transforms and comparison principle

Michael RuzhanskyMitsuru Sugimoto

A1 Journal Article in PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

Smoothing properties of inhomogeneous equations via canonical transforms

Michael RuzhanskyMitsuru Sugimoto

A2 Journal Article in RENDICONTI DEL SEMINARIO MATEMATICO UNIVERSITÀ E POLITECNICO DI TORINO

Structural resolvent estimates and derivative nonlinear Schrödinger equations

Michael RuzhanskyMitsuru Sugimoto

A1 Journal Article in COMMUNICATIONS IN MATHEMATICAL PHYSICS

2011

Changes of variables in modulation and Wiener amalgam spaces

Michael RuzhanskyMitsuru SugimotoJoachim ToftNaohito Tomita

A1 Journal Article in MATHEMATISCHE NACHRICHTEN

Dispersive estimates for hyperbolic systems with time-dependent coefficients

Michael RuzhanskyJens Wirth

A1 Journal Article in JOURNAL OF DIFFERENTIAL EQUATIONS

Dispersive type estimates for Fourier integrals and applications to hyperbolic systems

Michael RuzhanskyJens Wirth

A1 Journal Article in DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Modern aspects of the theory of partial differential equations

Sharp Gårding inequality on compact Lie groups

Michael RuzhanskyVille Turunen

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

Weighted Sobolev L² estimates for a class of Fourier integral operators

Michael RuzhanskyMitsuru Sugimoto

A1 Journal Article in MATHEMATISCHE NACHRICHTEN

2010

A boundary value problem for 3D elliptic equations with singular coefficients

Erkinjon Karimov

A higher order integral representation formula in isotonic Clifford analysis

Juan Bory ReyesHelmuth R. MalonekDixan Peña PeñaFranciscus Sommen

Asymptotic integration and dispersion for hyperbolic equations

Tokio MatsuyamaMichael Ruzhansky

A1 Journal Article in ADVANCES IN DIFFERENTIAL EQUATIONS

Criteria for Bochner's extension problem

Michael RuzhanskyMitsuru Sugimoto

A1 Journal Article in ASYMPTOTIC ANALYSIS

Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients

Michael RuzhanskyJames Smith

On the boundedness of Fourier integral operators on L-p(R-n)

Sandro CoriascoMichael Ruzhansky

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Progress in analysis and its applications : proceedings of the 7th international ISAAC congress

Pseudo-differential operators and symmetries : background analysis and advanced topics

Michael RuzhanskyVille Turunen

2009

Comparison of estimates for dispersive equations

Michael RuzhanskyM Sugimoto

On the smoothing properties of dispersive partial differential equations

Michael RuzhanskyMitsuru Sugimoto

On the toroidal quantization of periodic pseudo-differential operators

Michael RuzhanskyVille Turunen

A1 Journal Article in NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

Pointwise van der Corput lemma for functions of several variables

Michael Ruzhansky

A1 Journal Article in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS

Quantization of pseudo-differential operators on the torus

Michael RuzhanskyVille Turunen

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

SG Fourier integral operator classes with closure under composition

Graeme AndrewsMichael Ruzhansky

Time decay for hyperbolic equations with homogeneous symbols

Tokio MatsuyamaMichael Ruzhansky

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

2008

Dispersive estimates for T-dependent hyperbolic systems

Michael RuzhanskyJ Wirth

Microlocal time decays for hyperbolic equations with lower order terms

Michael Ruzhansky

A2 Journal Article in NOVI SAD JOURNAL OF MATHEMATICS

On local and global regularity of Fourier integral operators

Michael Ruzhansky

Bookchapter in New developments in pseudo-differential operators

On pseudo-differential operators on group SU(2)

Michael RuzhanskyVille Turunen

Bookchapter in New developments in pseudo-differential operators

On Strichartz estimates for hyperbolic equations with constant coefficients

Michael Ruzhansky

2007

Dispersion and asymptotic profiles for Kirchhoff equations

Tokio MatsuyamaMichael Ruzhansky

On some questions in complex analysis related to the theory of hyperbolic PDEs

Michael Ruzhansky

Regularity properties, representation of solutions, and spectral asymptotics of systems with multiplicities

Ilia KamotskiMichael Ruzhansky

A1 Journal Article in COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

2006

A smoothing property of Schrödinger equations in the critical case

Michael RuzhanskyMitsuru Sugimoto

A1 Journal Article in MATHEMATISCHE ANNALEN

Global boundedness theorems for Fourier integral operators associated with canonical transformations

Michael RuzhanskyM Sugimoto

Global calculus of Fourier integral operators, weighted estimates, and applications to global analysis of hyperbolic equations

Michael RuzhanskyMitsuru Sugimoto

Global L 2-boundedness theorems for a class of Fourier integral operators

Michael RuzhanskyMitsuru Sugimoto

A1 Journal Article in COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Global time estimates for solutions to higher order strictly hyperbolic partial differential equations

James SmithMichael Ruzhansky

On some properties of Galerkin approximations of solutions to Fokker-Planck equations

Michael Ruzhansky

On the Fourier analysis of operators on the torus

Michael RuzhanskyVille Turunen

Bookchapter in Modern trends in pseudo-differential operators

Representation of solutions and regularity properties for weakly hyperbolic systems

Ilia KamotskiMichael Ruzhansky

2005

A smoothing property of Schrödinger equations and a global existence result for derivative nonlinear equations

Mitsuru SugimotoMichael Ruzhansky

Estimates and spectral asymptotics for systems with multiplicities

IV KamotskiMichael Ruzhansky

A1 Journal Article in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS

Global smoothing estimates for dispersive equations with non-polynomial symbols

Michael RuzhanskyM Sugimoto

Global time estimates for solutions to equations of dissipative types

Michael RuzhanskyJames Smith

2004

A new proof of global smoothing estimates for dispersive equations

Michael RuzhanskyMitsuru Sugimoto

Decay and regularity for dispersive equations with non-polynomial symbols

Michael RuzhanskyMitsuru Sugimoto

2003

Global L² estimates for a class of Fourier integral operators with symbols in Besov spaces

Michael RuzhanskyM Sugimoto

A1 Journal Article in RUSSIAN MATHEMATICAL SURVEYS

Lp-distributions on symmetric spaces

Michael Ruzhansky

A2 Journal Article in RESULTS IN MATHEMATICS

Recent progress in the regularity theory of Fourier integrals with real and complex phases and solutions to partial differential equations

Michael Ruzhansky

フーリエ積分作用素の大域的有界性とその応用

Michael RuzhanskyMitsuru Sugimoto

A2 Journal Article in 数理解析研究所講究録 = RIMS KÔKYÛROKU BESSATSU

2002

On the failure of the factorization condition for non-degenerate Fourier integral operators

Michael Ruzhansky

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Sharp estimates for a class of hyperbolic pseudo-differential equations

Michael Ruzhansky

A2 Journal Article in RESULTS IN MATHEMATICS

Spectral shift function of the Schrödinger operator in the large coupling constant limit

AB PushnitskiMichael Ruzhansky

A1 Journal Article in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS

Spectral shift function of the Schrödinger operator in the large coupling constant limit, II : positive perturbations

A. PushnitskiMichael Ruzhansky

A1 Journal Article in COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

2001

Estimates for Fourier integral operators with complex-valued phase functions

Michael Ruzhansky

A1 Journal Article in RUSSIAN MATHEMATICAL SURVEYS

Estimates for pseudo-differential and hyperbolic differential equations via Fourier integrals with complex phases

Michael Ruzhansky

On uniform properties of doubling measures

Michael Ruzhansky

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Regularity of the parametrix of a problem with oblique derivative

Michael Ruzhansky

A1 Journal Article in RUSSIAN MATHEMATICAL SURVEYS

Regularity theory of Fourier integral operators with complex phases and singularities of affine fibrations

Michael Ruzhansky

2000

Abstract optimal linear filtering

Vladimir N FominMichael Ruzhansky

A1 Journal Article in SIAM JOURNAL ON CONTROL AND OPTIMIZATION

On singularities of affine fibrations of certain types

Michael Ruzhansky

A1 Journal Article in RUSSIAN MATHEMATICAL SURVEYS

Singularities of affine fibrations in the regularity theory of Fourier integral operators

Michael Ruzhansky

A1 Journal Article in RUSSIAN MATHEMATICAL SURVEYS

1999

Analytic Fourier integral operators, Monge-Ampere equation and holomorphic factorization

Michael Ruzhansky

A1 Journal Article in ARCHIV DER MATHEMATIK

Holomorphic factorization for the solution operators for hyperbolic equations

Michael Ruzhansky

On the sharpness of Seeger-Sogge-Stein orders

Michael Ruzhansky

A2 Journal Article in HOKKAIDO MATHEMATICAL JOURNAL

1997

Global elliptic estimates on symmetric spaces

Michael Ruzhansky

Singularities of affine fibrations

Michael Ruzhansky

1996

Design of minimum time optimal motion of multisectional manipulator

Michael RuzhanskySV Gusev

A2 Journal Article in JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL

The optimal filter construction for a general quadratic cost functional

Michael RuzhanskyVN Fomin

A2 Journal Article in VESTNIK, ST PETERSBURG UNIVERSITY. MATHEMATICS

1995

On Lp estimates for the Laplacian on a class of symmetric spaces of noncompact type

Michael Ruzhansky

1994

On the time optimal motion of the multilink manipulator

Michael Ruzhansky

A2 Journal Article in VESTNIK, ST PETERSBURG UNIVERSITY. MATHEMATICS

1992

Optimal program motion construction for multilink manipulator

Michael RuzhanskySV Gusev

Time optimal motion construction for manipulator

Michael Ruzhansky