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

2024/05/02 by Gianluca Garello, Garello, Gianluca, Alessandro Morando +1
Engineering · Mathematics · #35S05 #42C15 #47B38 #47G30 #Advanced Numerical Analysis Techniques #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2405.01370

openalex publication_date 2024/05/02 · openalex created_date 2024/05/05 · openalex updated_date 2026/07/28

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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