Research Explorer

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Researcher

Vishvesh Kumar

Publications & Research Data

Awards & Distinctions

58 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

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

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

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

L^p-L^q hypergeometric spectral and Fourier multipliers associated with root systems

A1 Journal Article in POTENTIAL ANALYSIS

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

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

2024

A direct method of moving planes for logarithmic Schrodinger operator

Rong ZhangVishvesh KumarMichael Ruzhansky

A1 Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

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

Vishvesh KumarJoel RestrepoMichael Ruzhansky

A1 Journal Article in RESULTS IN MATHEMATICS

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

Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups

Arun Kumar BhardwajVishvesh KumarShyam Swarup Mondal

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

Functional inequalities on symmetric spaces of noncompact type and applications

Aidyn KassymovVishvesh KumarMichael Ruzhansky

A1 Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

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

Vishvesh KumarMichael RuzhanskyRong Zhang

A1 Journal Article in ANNALES FENNICI MATHEMATICI

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

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

Vishvesh KumarJoel Restrepo

2023

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

L2-Lp estimates and Hilbert–Schmidt pseudo differential operators on the Heisenberg motion group

Vishvesh KumarShyam Swarup Mondal

A1 Journal Article in APPLICABLE ANALYSIS

L^p-L^q boundedness of Fourier multipliers associated with the anharmonic oscillator

Marianna ChatzakouVishvesh Kumar

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

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

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

Rong ZhangVishvesh KumarMichael Ruzhansky

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

2022

Convolution properties of Orlicz spaces on hypergroups

Ali Reza Bagheri SalecVishvesh KumarSeyyed Mohammad Tabatabaie

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

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

Vishvesh KumarMichael Ruzhansky

A1 Journal Article in JOURNAL OF LIE THEORY

Lp -Lq boundedness of spectral multipliers of the anharmonic oscillator

Marianna ChatzakouVishvesh Kumar

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups

Vishvesh KumarShyam Swaruprup Mondal

A1 Journal Article in MONATSHEFTE FUR MATHEMATIK

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

Continuity of operators intertwining with translation operators on hypergroups

Vishvesh KumarSarma Ritumoni

A1 Journal Article in AEQUATIONES MATHEMATICAE

Ellipticity and Fredholmness of pseudo-differential operators on l(2)(Z(n))

Aparajita DasguptaVishvesh Kumar

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Hypercyclic sequences of weighted translations on hypergroups

Vishvesh KumarSeyyed Mohammad Tabatabaie

A1 Journal Article in SEMIGROUP FORUM

Self-adjointness and compactness of operators related to finite measure spaces

Shyam Swarup MondalVishvesh Kumar

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

The nuclear trace of periodic vector‐valued pseudo‐differential operators with applications to index theory

Duvan Cardona SanchezVishvesh Kumar

A1 Journal Article in MATHEMATISCHE NACHRICHTEN

Topologically transitive sequence of cosine operators on Orlicz spaces

Ibrahim AkbarbagluMohammad Reza AzimiVishvesh Kumar

A1 Journal Article in ANNALS OF FUNCTIONAL ANALYSIS

Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups

Vishvesh KumarShyam Swarup Mondal

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

2020

C*-algebras, H*-algebras and trace ideals of pseudo-differential operators on locally compact, Hausdorff and abelian groups (vol 10, pg 269, 2019)

Vishvesh KumarM. W. Wong

Characterization of multipliers on hypergroups

Vishvesh KumarKumar N. ShravanSarma Ritumoni

A2 Journal Article in ACTA MATHEMATICA VIETNAMICA

Dixmier traces for discrete pseudo-differential operators

Duvan Cardona SanchezCésar del CorralVishvesh Kumar

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

Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds

Vishvesh KumarMichael Ruzhansky

A1 Journal Article in INDAGATIONES MATHEMATICAE-NEW SERIES

Hilbert-Schmidt and trace class pseudo-differential operators on the abstract Heisenberg group

Aparajita DasguptaVishvesh Kumar

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Nuclearity of operators related to finite measure spaces

Vishvesh KumarShyam Swarup Mondal

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

Orlicz spaces and amenability of hypergroups

A1 Journal Article in BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY

Ramsey theory for hypergroups

Vishvesh KumarKenneth A. RossAjit Iqbal Singh

A1 Journal Article in SEMIGROUP FORUM

The Hausdorff-Young inequality for Orlicz spaces on compact hypergroups

Vishvesh KumarRitumoni Sarma

A1 Journal Article in COLLOQUIUM MATHEMATICUM

2019

C*-algebras, H*-algebras and trace ideals of pseudo-differential operators on locally compact, Hausdorff and abelian groups

Vishvesh KumarM. W. Wong

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

Hypergroup deformations of semigroups

Vishvesh KumarKenneth A. RossAjit Iqbal Singh

A1 Journal Article in SEMIGROUP FORUM

Hypergroup deformations of semigroups (vol 99, pg 169, 2019)

Vishvesh KumarKenneth A. RossAjit Iqbal Singh

Lp-boundedness and Lp-nuclearity of multilinear pseudo-differential operators on ℤⁿ and the torus 𝕋ⁿ

Duvan Cardona SanchezVishvesh Kumar

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces

Duvan Cardona SanchezVishvesh Kumar

A2 Journal Article in REVISTA INTEGRACIÓN. TEMAS DE MATEMÁTICAS

Orlicz spaces on hypergroups

Vishvesh KumarSarma RitumoniN. Shravan Kumar

A1 Journal Article in PUBLICATIONES MATHEMATICAE-DEBRECEN

Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups

A1 Journal Article in FORUM MATHEMATICUM

Unbounded translation invariant operators on commutative hypergroups

Vishvesh KumarKumar N. ShravanSarma Ritumoni

A2 Journal Article in METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY

Vector valued Fourier analysis on hypergroups

Vishvesh KumarN. Shravan Kumar

A1 Journal Article in OPERATORS AND MATRICES

2018

Multipliers on vector-valued L1-spaces for hypergroups

R. SarmaN. Shravan KumarVishvesh Kumar

A1 Journal Article in ACTA MATHEMATICA SINICA-ENGLISH SERIES

Orlicz algebras on homogeneous spaces of compact groups and their abstract linear representations

Vishvesh KumarR. SarmaN. Shravan Kumar

A1 Journal Article in MEDITERRANEAN JOURNAL OF MATHEMATICS