The Hilbert-Schmidt property for a particular class of h-admissible Fourier integral operators
In this paper, we define a particular class of h-admissible Fourier integral operators F_h. These classes of Integral operators turn out to be bounded on the Schwartz space and on its dual. Moreover, we show that F_h can be extended as a Hilbert-Schmidt operators on L^2(R^n).
Authors
- Omar Farouk Aid
- Abderrahmane Senoussaoui (ORCID: https://orcid.org/0000-0002-1890-9736)
Publication Details
- Journal
- Mathematica
- Published
- 2025-05-25
- DOI
- https://doi.org/10.24193/mathcluj.2025.1.02
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00