Pseudodifferential operators with completely periodic symbols

2023/03/10 by Garello, Gianluca, Morando, Alessandro
#35S05 #42C15 #47B90 #Analysis of PDEs (math.AP) #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2303.05982

Abstract

Motivated by the recent paper of Boggiatto-Garello in J. Pseudo-Differ. Oper. Appl. 11 (2020), 93-117, where a Gabor operator is regarded as pseudodifferential operator with symbol p(x,ω) 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 τ quantization.

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