A. Kowacs

activity

20222026

most citedGlobal hypoellipticity on time-periodic Gelfand-Shilov spaces via non-discrete Fourier analysis

1 citations · 1 across the 14 of their papers we have counts for

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4 papers · 1 filter

math.AP2023

Global hypoellipticity of $G$ -invariant operators on homogeneous vector bundles

Duván Cardona, André Pedroso Kowacs

We establish necessary and sufficient conditions for the global hypoellipticity of $G$ -invariant operators on homogeneous vector bundles. These criteria are established in terms of…

math.AP2023

Global solvability and hypoellipticity for evolution operators on tori and spheres

André Pedroso Kowacs, Alexandre Kirilov, Wagner Augusto Almeida de Moraes

In this paper, we study the global properties of a class of evolution-like differential operator with a 0-order perturbation defined on the product of $r + 1$ tori and $s$ spheres $\…

math.AP2023

Schwartz regularity of differential operators on the cylinder

André Pedroso Kowacs

This article presents an investigation of global properties of a class of differential operators on $T^{1} \times R$ . Our approach involves the utilization of a mixed…

math.AP2023

Fourier Analysis on $T^{m} \times R^{n}$ and Applications to Global Hypoellipticity

André Pedroso Kowacs

This article presents a convenient approach to Fourier analysis for the investigation of functions and distributions defined in $T^{m} \times R^{n}$ . Our approach inv…

Global hypoellipticity of G-invariant operators on homogeneous vector bundles

Global solvability and hypoellipticity for evolution operators on tori and spheres

Schwartz regularity of differential operators on the cylinder

Fourier Analysis on Tm×Rn and Applications to Global Hypoellipticity

Global hypoellipticity of $G$ -invariant operators on homogeneous vector bundles

Fourier Analysis on $T^{m} \times R^{n}$ and Applications to Global Hypoellipticity