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 application, we find sufficient conditions for the existence of Gabor frames on L^2, associated with a general lattice LZ^2d, where L is an invertible square matrix.
Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames
Garello, Gianluca
;Morando, Alessandro
2025-01-01
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 application, we find sufficient conditions for the existence of Gabor frames on L^2, associated with a general lattice LZ^2d, where L is an invertible square matrix.
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