Motivated by the recent paper of Boggiatto-Garello (J Pseudo-Differ Oper Appl 11:93-117, 2020) where a Gabor operator is regarded as pseudodifferential operator with symbol p(x, ?) periodic on both the variables, we study the continuity and invertibility, on general time frequency invariant spaces, of pseudodifferential operators with completely periodic symbol and general t quantization.
Pseudodifferential operators with completely periodic symbols
Garello G.Co-first
;
2023-01-01
Abstract
Motivated by the recent paper of Boggiatto-Garello (J Pseudo-Differ Oper Appl 11:93-117, 2020) where a Gabor operator is regarded as pseudodifferential operator with symbol p(x, ?) periodic on both the variables, we study the continuity and invertibility, on general time frequency invariant spaces, of pseudodifferential operators with completely periodic symbol and general t quantization.
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