Work

Global Hypoellipticity on Time-Periodic Gelfand-Shilov Spaces Via Non-Discrete Fourier Analysis

Year: 2026

Type: article

Abstract: In this paper, we provide a characterization of the time-periodic Gelfand-Shilov spaces, as introduced by F. de Ávila Silva and M. Cappiello, J. Funct. Anal. , 2022, through the asymptotic behaviour of both the Euclidean and periodic partial Fourier transforms of their elements. As an application, we establish necessary and sufficient conditions for global regularity—within this framework—for a broad class of constant-coefficient differential operators, as well as for first-order tube-type operators.

Source: Journal of Fourier Analysis and Applications

DOI: 10.1007/s00041-026-10253-3

Authors: André Pedroso Kowacs, Pedro M. Tokoro

Institutions: Universidade de São Paulo, Universidade Federal do Paraná

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Universidade de São Paulo