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Researcher
Duvan Cardona Sanchez
Profile
Projects
Publications & Research Data
Activities
Awards & Distinctions
Patents
52
Results
2025
Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations
Duvan Cardona Sanchez
Marianna Chatzakou
Julio Delgado
Vishvesh Kumar
Michael Ruzhansky
A1
Journal Article
in
JOURNAL OF MATHEMATICAL PHYSICS
2025
2024
Generic bessel potential spaces on Lie groups
Duvan Cardona Sanchez
Roland Duduchava
Arne Hendrickx
Michael Ruzhansky
C1
Conference
2024
L-p-bounds for Fourier integral operators on the torus
Duvan Cardona Sanchez
Rekia Messiouene
Abderrahmane Senoussaoui
A1
Journal Article
in
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
2024
Schatten-von Neumann classes Sp on the torus for 0 < p ≤ 2
Duvan Cardona Sanchez
C1
Conference
2024
2023
Contributions to the theory of pseudo-differential operators : from compact to graded Lie groups
Duvan Cardona Sanchez
Michael Ruzhansky
Julio Delgado
Dissertation
2023
Control of the Cauchy problem on Hilbert spaces : a global approach via symbol criteria
Duvan Cardona Sanchez
Julio Delgado
Brian Grajales
Michael Ruzhansky
A1
Journal Article
in
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
2023
Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary
Duvan Cardona Sanchez
Vishvesh Kumar
Michael Ruzhansky
Niyaz Tokmagambetov
A2
Journal Article
in
ADVANCES IN OPERATOR THEORY
2023
Oscillating singular integral operators on compact Lie groups revisited
Duvan Cardona Sanchez
Michael Ruzhansky
A1
Journal Article
in
MATHEMATISCHE ZEITSCHRIFT
2023
2022
Björk–Sjölin condition for strongly singular convolution operators on graded Lie groups
Duvan Cardona Sanchez
Michael Ruzhansky
A1
Journal Article
in
MATHEMATISCHE ZEITSCHRIFT
2022
Determinants and Plemelj-Smithies formulas
Duvan Cardona Sanchez
Julio Delgado
Michael Ruzhansky
A1
Journal Article
in
MONATSHEFTE FUR MATHEMATIK
2022
Drift diffusion equations with fractional diffusion on compact Lie groups
Duvan Cardona Sanchez
Julio Delgado
Michael Ruzhansky
A1
Journal Article
in
JOURNAL OF EVOLUTION EQUATIONS
2022
Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups
Duvan Cardona Sanchez
Michael Ruzhansky
A1
Journal Article
in
COLLECTANEA MATHEMATICA
2022
Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators
Duvan Cardona Sanchez
Michael Ruzhansky
A1
Journal Article
in
ARCHIV DER MATHEMATIK
2022
The Wodzicki residue for pseudo-differential operators on compact Lie groups
Duvan Cardona Sanchez
Bookchapter
in
Harmonic analysis and partial differential equations
2022
2021
Lp-bounds for pseudo-differential operators on graded Lie groups
Duvan Cardona Sanchez
Julio Delgado
Michael Ruzhansky
A1
Journal Article
in
JOURNAL OF GEOMETRIC ANALYSIS
2021
On the Benjamin-Ono equation in the half line
Duvan Cardona Sanchez
Liliana Esquivel
A1
Journal Article
in
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
2021
Periodic Fourier integral operators in L-p-spaces
Duvan Cardona Sanchez
Rekia Messiouene
Abderrahmane Senoussaoui
A1
Journal Article
in
COMPTES RENDUS MATHEMATIQUE
2021
Sharp Strichartz estimates for the Schrödinger equation on the sphere
Duvan Cardona Sanchez
Liliana Esquivel
A1
Journal Article
in
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
2021
The nuclear trace of periodic vector‐valued pseudo‐differential operators with applications to index theory
Duvan Cardona Sanchez
Vishvesh Kumar
A1
Journal Article
in
MATHEMATISCHE NACHRICHTEN
2021
2020
A note on the stein restriction conjecture and the restriction problem on the torus
Duvan Cardona Sanchez
A2
Journal Article
in
Electronic journal of mathematical analysis and applications
2020
Dixmier traces for discrete pseudo-differential operators
Duvan Cardona Sanchez
César del Corral
Vishvesh Kumar
A1
Journal Article
in
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
2020
L∞-BMO bounds for pseudo-multipliers associated with the harmonic oscillator
Duvan Cardona Sanchez
A2
Journal Article
in
REVISTA COLOMBIANA DE MATEMÁTICAS
2020
Sharp estimates for the Schrödinger equation associated with the twisted Laplacian
Duvan Cardona Sanchez
A1
Journal Article
in
REPORTS ON MATHEMATICAL PHYSICS
2020
The dixmier trace and the noncommutative residue for multipliers on compact manifolds
Duvan Cardona Sanchez
César Del Corral
C1
Conference
2020
The Dixmier trace and the Wodzicki residue for global pseudo-differential operators on compact manifolds
Duvan Cardona Sanchez
César del Corral
A2
Journal Article
in
Revista Integración: Temas de matemáticas
2020
2019
Lp estimates for a Schrödinger equation associated with the harmonic oscillator
Duvan Cardona Sanchez
A1
Journal Article
in
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
2019
Lp-boundedness and Lp-nuclearity of multilinear pseudo-differential operators on ℤⁿ and the torus 𝕋ⁿ
Duvan Cardona Sanchez
Vishvesh Kumar
A1
Journal Article
in
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
2019
Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces
Duvan Cardona Sanchez
Vishvesh Kumar
A2
Journal Article
in
REVISTA INTEGRACIÓN. TEMAS DE MATEMÁTICAS
2019
On nuclear Lp-multipliers associated to the harmonic oscillator
Edgardo Samuel Barraza
Duvan Cardona Sanchez
C1
Conference
2019
On the index of pseudo-differential operators on compact Lie groups
Duvan Cardona Sanchez
A1
Journal Article
in
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
2019
On the nuclear trace of Fourier integral operators
Duvan Cardona Sanchez
A2
Journal Article
in
REVISTA INTEGRACIÓN. TEMAS DE MATEMÁTICAS
2019
Pseudo-differential operators in Hölder spaces revisited : Weyl-Hörmander calculus and Ruzhansky-Turunen classes
Duvan Cardona Sanchez
A1
Journal Article
in
MEDITERRANEAN JOURNAL OF MATHEMATICS
2019
Pseudo-differential operators on ℤⁿ with applications to discrete fractional integral operators
Duvan Cardona Sanchez
A1
Journal Article
in
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
2019
2018
A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes
Duvan Cardona Sanchez
A2
Journal Article
in
REVISTA INTEGRACIÓN. TEMAS DE MATEMÁTICAS
2018
Besov continuity for global operators on compact Lie groups : the critical case p=q=∞
Duvan Cardona Sanchez
A2
Journal Article
in
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE
2018
Besov continuity for pseudo-differential operators on compact homogeneous manifolds
Duvan Cardona Sanchez
A1
Journal Article
in
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
2018
Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator
Duvan Cardona Sanchez
E Samuel Barraza
A1
Journal Article
in
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
2018
2017
A data structure to represent data sets with more than one order relation like polygons
Edgardo Samuel Barraza Verdesoto
Edwin Rivas Trujillo
Duvan Cardona Sanchez
A2
Journal Article
in
CONTEMPORARY ENGINEERING SCIENCES
2017
Besov continuity of pseudo-differential operators on compact Lie groups revisited
Duvan Cardona Sanchez
A1
Journal Article
in
COMPTES RENDUS MATHEMATIQUE
2017
Hölder-Besov boundedness for periodic pseudo-differential operators
Duvan Cardona Sanchez
A1
Journal Article
in
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
2017
Multipliers for Besov spaces on graded Lie groups
Duvan Cardona Sanchez
Michael Ruzhansky
A1
Journal Article
in
COMPTES RENDUS MATHEMATIQUE
2017
Nuclear pseudo-differential operators in Besov spaces on compact Lie groups
Duvan Cardona Sanchez
A1
Journal Article
in
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
2017
On the boundedness of periodic pseudo-differential operators
Duvan Cardona Sanchez
A1
Journal Article
in
MONATSHEFTE FUR MATHEMATIK
2017
2016
A note on the Fourier transform in Hölder spaces
Duvan Cardona Sanchez
A2
Journal Article
in
ELEMENTOS
2016
Besov continuity for multipliers defined on compact Lie groups
Duvan Cardona Sanchez
A2
Journal Article
in
PALESTINE JOURNAL OF MATHEMATICS
2016
2015
Invertibility for a class of Fourier multipliers
Duvan Cardona Sanchez
A1
Journal Article
in
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
2015
On the singular values of the Fox-Li operator
Duvan Cardona Sanchez
A1
Journal Article
in
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
2015
Weak-type (1,1) bounds for a class of operators with discrete kernel
Duvan Cardona Sanchez
A2
Journal Article
in
REVISTA INTEGRACIÓN. TEMAS DE MATEMÁTICAS
2015
2014
Hölder estimates for pseudo-differential operators on 𝕋¹
Duvan Cardona Sanchez
A1
Journal Article
in
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
2014
Weak type (1,1) bounds for a class of periodic pseudo-differential operators
Duvan Cardona Sanchez
A1
Journal Article
in
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
2014
2013
Invertibilidad de operadores pseudo-diferenciales definidos en Zn = Invertibility of pseudo-differential operators defined on Zn
Duvan Cardona Sanchez
A2
Journal Article
in
LECTURAS MATEMATICAS
2013
Pseudo-differential operators defined on Borel measures
Duvan Cardona Sanchez
A2
Journal Article
in
Revista Integración
2013