Research Explorer

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Researcher

Duvan Cardona Sanchez

Publications & Research Data

Awards & Distinctions

57 Results

2026

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

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

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

2024

Generic bessel potential spaces on Lie groups

Duvan Cardona SanchezRoland DuduchavaArne HendrickxMichael Ruzhansky

L-p-bounds for Fourier integral operators on the torus

Duvan Cardona SanchezRekia MessioueneAbderrahmane Senoussaoui

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

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

Duvan Cardona Sanchez

2023

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

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

Oscillating singular integral operators on compact Lie groups revisited

Duvan Cardona SanchezMichael Ruzhansky

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

2022

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

Duvan Cardona SanchezMichael Ruzhansky

A1 Journal Article in MATHEMATISCHE ZEITSCHRIFT

Determinants and Plemelj-Smithies formulas

Duvan Cardona SanchezJulio DelgadoMichael Ruzhansky

A1 Journal Article in MONATSHEFTE FUR MATHEMATIK

Drift diffusion equations with fractional diffusion on compact Lie groups

Duvan Cardona SanchezJulio DelgadoMichael Ruzhansky

A1 Journal Article in JOURNAL OF EVOLUTION EQUATIONS

Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups

Duvan Cardona SanchezMichael Ruzhansky

A1 Journal Article in COLLECTANEA MATHEMATICA

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

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

Duvan Cardona Sanchez

Bookchapter in Harmonic analysis and partial differential equations

2021

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

Duvan Cardona SanchezJulio DelgadoMichael Ruzhansky

A1 Journal Article in JOURNAL OF GEOMETRIC ANALYSIS

On the Benjamin-Ono equation in the half line

Duvan Cardona SanchezLiliana Esquivel

A1 Journal Article in NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Periodic Fourier integral operators in L-p-spaces

Duvan Cardona SanchezRekia MessioueneAbderrahmane Senoussaoui

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Sharp Strichartz estimates for the Schrödinger equation on the sphere

Duvan Cardona SanchezLiliana Esquivel

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

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

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

Dixmier traces for discrete pseudo-differential operators

Duvan Cardona SanchezCésar del CorralVishvesh Kumar

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

L∞-BMO bounds for pseudo-multipliers associated with the harmonic oscillator

Duvan Cardona Sanchez

A2 Journal Article in REVISTA COLOMBIANA DE MATEMÁTICAS

Sharp estimates for the Schrödinger equation associated with the twisted Laplacian

Duvan Cardona Sanchez

A1 Journal Article in REPORTS ON MATHEMATICAL PHYSICS

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

Duvan Cardona SanchezCésar Del Corral

The Dixmier trace and the Wodzicki residue for global pseudo-differential operators on compact manifolds

Duvan Cardona SanchezCésar del Corral

A2 Journal Article in Revista Integración: Temas de matemáticas

2019

Lp estimates for a Schrödinger equation associated with the harmonic oscillator

Duvan Cardona Sanchez

A1 Journal Article in ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

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

On nuclear Lp-multipliers associated to the harmonic oscillator

Edgardo Samuel BarrazaDuvan Cardona Sanchez

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

On the nuclear trace of Fourier integral operators

Duvan Cardona Sanchez

A2 Journal Article in REVISTA INTEGRACIÓN. TEMAS DE MATEMÁTICAS

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

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

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

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

Besov continuity for pseudo-differential operators on compact homogeneous manifolds

Duvan Cardona Sanchez

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

Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator

Duvan Cardona SanchezE Samuel Barraza

A1 Journal Article in UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS

2017

A data structure to represent data sets with more than one order relation like polygons

Edgardo Samuel Barraza VerdesotoEdwin Rivas TrujilloDuvan Cardona Sanchez

A2 Journal Article in CONTEMPORARY ENGINEERING SCIENCES

Besov continuity of pseudo-differential operators on compact Lie groups revisited

Duvan Cardona Sanchez

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Hölder-Besov boundedness for periodic pseudo-differential operators

Duvan Cardona Sanchez

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

Multipliers for Besov spaces on graded Lie groups

Duvan Cardona SanchezMichael Ruzhansky

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

Nuclear pseudo-differential operators in Besov spaces on compact Lie groups

Duvan Cardona Sanchez

A1 Journal Article in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

On the boundedness of periodic pseudo-differential operators

Duvan Cardona Sanchez

A1 Journal Article in MONATSHEFTE FUR MATHEMATIK

2016

A note on the Fourier transform in Hölder spaces

Duvan Cardona Sanchez

A2 Journal Article in ELEMENTOS

Besov continuity for multipliers defined on compact Lie groups

Duvan Cardona Sanchez

A2 Journal Article in PALESTINE JOURNAL OF MATHEMATICS

2015

Invertibility for a class of Fourier multipliers

Duvan Cardona Sanchez

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

On the singular values of the Fox-Li operator

Duvan Cardona Sanchez

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

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

2014

Hölder estimates for pseudo-differential operators on 𝕋¹

Duvan Cardona Sanchez

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

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

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

Pseudo-differential operators defined on Borel measures

Duvan Cardona Sanchez

A2 Journal Article in Revista Integración