Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames
Functional Analysis
2024-05-03 v1 Analysis of PDEs
Abstract
Starting from the study of pseudodifferential operators with completely periodic symbols, we obtain results of continuity and invertibility of a class of Gabor operators on time-frequency invariant Banach spaces. As an applications we find sufficient conditions for the existence of Gabor frames on the space of square integrable functions, associated to a general lattice.
Keywords
Cite
@article{arxiv.2405.01370,
title = {Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames},
author = {Gianluca Garello and Alessandro Morando},
journal= {arXiv preprint arXiv:2405.01370},
year = {2024}
}
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39 pages