Global Hypoellipticity on Time-Periodic Gelfand-Shilov Spaces Via Non-Discrete Fourier Analysis
Abstract
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.
Fields of Study & Subjects
Quantum chaos and dynamical systems
Spectral Theory in Mathematical Physics
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Journal of Fourier Analysis and Applications
- Publisher
- Springer Science and Business Media LLC
- Volume
- 32
- Issue
- 2
- Publication date
- 1 April 2026
- Language
- EN