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arXiv · 2405.01370

Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames

Gianluca Garello·Alessandro Morando
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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.

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Gianluca Garello, Alessandro Morando. 2024-05-02. Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames. https://arxiv.org/abs/2405.01370

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