Duv'an Cardona

发表

Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups

Duv'an Cardona, 2016, 1610.09042.

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

Vishvesh Kumar, Duv'an Cardona, 2019, Mathematische Nachrichten.

Drift diffusion equations with fractional diffusion on compact Lie groups

Michael Ruzhansky, Duv'an Cardona, J. Delgado, 2022, Journal of Evolution Equations.

On the multiplier problem for the ball on graded Lie groups

Duv'an Cardona, 2020, 2012.11057.

On the Benjamin–Ono equation in the half line

L. Esquivel, Duv'an Cardona, 2021, 2101.06992.

The index of Toeplitz operators on compact Lie groups and simply connected closed 3-manifolds

Duv'an Cardona, 2018, 1809.10401.

Poincaré conjecture / theorem proved by Perelman provides a diffeomorphism

Duv'an Cardona, 2018 .

On the index of pseudo-differential operators on compact Lie groups

Duv'an Cardona, 2018, Journal of Pseudo-Differential Operators and Applications.

Weak type (1,1) bounds for a class of periodic pseudo-differential operators

Duv'an Cardona, 2014 .

$L^\infty$-$BMO$ bounds for pseudo-multipliers associated to the harmonic oscillator

Duv'an Cardona, 2019, 1905.03644.

A note on the Stein restriction conjecture and the restriction problem on the torus.

Duv'an Cardona, 2018, 1812.10641.

Global pseudo-differential operators on the Lie group $G= (-1,1)^n$

Michael Ruzhansky, R. Duduchava, Duv'an Cardona, 2022, 2209.09751.

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

Michael Ruzhansky, Duv'an Cardona, 2022, Mathematische Zeitschrift.

The dixmier trace and Wodzicki residue for global pseudo-differential operators on compact maniolds

Duv'an Cardona, Cesar del corral, César del Corral, 2020 .

Oscillating singular integral operators on compact Lie groups revisited

Michael Ruzhansky, Duv'an Cardona, 2022, Mathematische Zeitschrift.

Dixmier traces for discrete pseudo-differential operators

Vishvesh Kumar, Duv'an Cardona, C. Corral, 2019, Journal of Pseudo-Differential Operators and Applications.

On the singular values of the Fox–Li operator

Duv'an Cardona, 2015, Journal of Pseudo-Differential Operators and Applications.

Invertibility for a class of Fourier multipliers

Duv'an Cardona, 2015, Journal of Pseudo-Differential Operators and Applications.

$$L^p$$-Bounds for Pseudo-differential Operators on Graded Lie Groups

Michael Ruzhansky, Duv'an Cardona, J. Delgado, 2019, The Journal of Geometric Analysis.

Besov continuity for pseudo-differential operators on compact homogeneous manifolds

Duv'an Cardona, 2017, Journal of Pseudo-Differential Operators and Applications.

Hölder–Besov boundedness for periodic pseudo-differential operators

Duv'an Cardona, 2016, Journal of Pseudo-Differential Operators and Applications.

Schatten-von Neumann properties for H\"ormander classes on compact Lie groups

Michael Ruzhansky, J. Toft, Duv'an Cardona, 2023, 2301.04044.

Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups

Michael Ruzhansky, Duv'an Cardona, J. Delgado, 2022, 2209.12092.

Spectral inequalities for elliptic pseudo-differential operators on closed manifolds

Duv'an Cardona, 2022, ArXiv.

Boundedness of the dyadic maximal function on graded Lie groups

Michael Ruzhansky, Duv'an Cardona, J. Delgado, 2023, 2301.08964.

A local-to-global weak (1,1) type argument and applications to Fourier integral operators

Michael Ruzhansky, Duv'an Cardona, Michael Ruzhansky, 2021, 2103.12143.

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

Duv'an Cardona, 2021, Revista Colombiana de Matemáticas.

On Nuclear $$L^p$$ -Multipliers Associated to the Harmonic Oscillator

Duv'an Cardona, E. Barraza, 2017, Springer Proceedings in Mathematics & Statistics.

Hölder–Besov boundedness for periodic pseudo-differential operators

Duv'an Cardona, 2017 .

H\"older-Besov boundedness for periodic pseudo-differential operators

Duv'an Cardona, 2016, 1609.03514.

Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups

Michael Ruzhansky, Duv'an Cardona, 2020, 2008.09651.

Oscillating singular integral operators on graded Lie groups revisited

Michael Ruzhansky, Duv'an Cardona, 2022, 2201.12881.

Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups

Michael Ruzhansky, Duv'an Cardona, 2021, Collectanea Mathematica.

Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups

Michael Ruzhansky, Duv'an Cardona, 2021, Collectanea Mathematica.

Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups

Michael Ruzhansky, Duv'an Cardona, Michael Ruzhansky, 2021, 2101.05856.

On the nuclear trace of Fourier integral operators

Duv'an Cardona, 2018, Revista Integración.

Nuclearity for Fourier integral operators in $L^p$-spaces

Duv'an Cardona, 2018, 1809.03876.

Ju l 2 01 8 L p-BOUNDS FOR PERIODIC FOURIER INTEGRAL OPERATORS ( FOURIER SERIES OPERATORS )

Duv'an Cardona, Rekia Messiouene, 2018 .

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

Duv'an Cardona, 2022, 2201.12336.

Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation

Michael Ruzhansky, Julio Delgado, Duv'an Cardona, 2021, 2105.14949.

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

Michael Ruzhansky, Niyaz Tokmagambetov, Vishvesh Kumar, 2021, 2101.05883.

The Dixmier Trace and the Noncommutative Residue for Multipliers on Compact Manifolds

Duv'an Cardona, C. Corral, 2017, Trends in Mathematics.

Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator

Duv'an Cardona, E. Barraza, 2018, 1803.00903.

Dixmier traces for discrete pseudo-differential operators

Vishvesh Kumar, Duv'an Cardona, César del Corral, 2020, Journal of Pseudo-Differential Operators and Applications.

H\"ormander condition for pseudo-multipliers associated to the harmonic oscillator

Michael Ruzhansky, Duv'an Cardona, 2018, 1810.01260.

$L^p$-estimates for the Schr\"odinger equation associated to the harmonic oscillator.

Duv'an Cardona, 2018, 1808.02906.

A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes

Duv'an Cardona, 2018, Revista Integración.

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

Michael Ruzhansky, Niyaz Tokmagambetov, Vishvesh Kumar, 2021, Advances in Operator Theory.

Sharp Estimates for the Schrödinger Equation Associated with the Twisted Laplacian

Duv'an Cardona, 2018, Reports on Mathematical Physics.

On the sharpness of Strichartz estimates and spectrum of compact Lie groups

Michael Ruzhansky, Duv'an Cardona, Brian Grajales, 2023, 2302.04139.

A ug 2 01 8 L p-estimates for the Schrödinger equation associated to the harmonic oscillator

C., Duv'an Cardona, K. Rogers, 2022 .

On the boundedness of periodic pseudo-differential operators

Duv'an Cardona, 2017, 1701.08184.

Pseudo-Differential Operators in Hölder Spaces Revisited: Weyl–Hörmander Calculus and Ruzhansky–Turunen Classes

Duv'an Cardona, 2018, Mediterranean Journal of Mathematics.

Weak type (1,1) bounds for a class of periodic pseudo-differential operators

Duv'an Cardona, 2014, Journal of Pseudo-Differential Operators and Applications.

Degenerate Schr\"odinger equations with irregular potentials

Michael Ruzhansky, Duv'an Cardona, J. Delgado, 2023, 2302.02413.

Multipliers for Besov spaces on graded Lie groups

Michael Ruzhansky, Duv'an Cardona, 2017 .

Periodic Fourier integral operators in L p -spaces

Duván Cardona, Rekia Messiouene, Abderrahmane Senoussaoui, 2021, Comptes Rendus. Mathématique.

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

Michael Ruzhansky, Duv'an Cardona, Michael Ruzhansky, 2021, Archiv der Mathematik.

Lp-bounds for Fourier integral operators on the torus

Duv'an Cardona, A. Senoussaoui, Rekia Messiouene, 2018, Complex Variables and Elliptic Equations.

A P ] 2 0 A pr 2 02 1 THE WEAK ( 1 , 1 ) TYPE OF FOURIER INTEGRAL OPERATORS WITH COMPLEX PHASES

Duv'an Cardona, M. Ruzhansky, 2021 .

Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups

Michael Ruzhansky, Duv'an Cardona, 2019, Complex Variables and Elliptic Equations.

Besov continuity for global operators on compact Lie groups: The critical casep=q=∞.

Duv'an Cardona, 2018, Transactions of A. Razmadze Mathematical Institute.

Littlewood-Paley Theorem, Nikolskii Inequality, Besov Spaces, Fourier and Spectral Multipliers on Graded Lie Groups

Michael Ruzhansky, Duv'an Cardona, 2016, Potential Analysis.

Besov continuity for pseudo-differential operators on compact homogeneous manifolds

Duv'an Cardona, 2016, 1607.00689.

Determinants and Plemelj-Smithies formulas

Michael Ruzhansky, Duv'an Cardona, J. Delgado, 2020, Monatshefte für Mathematik.

Invertibility for a class of Fourier multipliers

Duv'an Cardona, 2015 .

The weak type $(1,p)$ for convolution operators on locally compact groups

Duv'an Cardona, 2018, 1803.02413.

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

Duv'an Cardona, J. Delgado, Michael Ruzhansky, 2023, Communications on Pure and Applied Analysis.

L 2-Maximal Functions on Graded Lie Groups

Duv'an Cardona, 2024, International Mathematics Research Notices.