Compactness of Fourier integral operators on weighted modulation spaces

6533b7ddfe1ef96bd12749fd

RESEARCH PRODUCT

Compactness of Fourier integral operators on weighted modulation spaces

Carmen Fernández Antonio Galbis Eva Primo

subject

Modulation space Pure mathematics Pseudodifferential operators Applied Mathematics General Mathematics 010102 general mathematics Matrix representation Gabor frame 01 natural sciences Fourier integral operator Functional Analysis (math.FA)Mathematics - Functional Analysis 35S30 47G30 42C15 Compact space FOS: Mathematics 0101 mathematics Mathematics

description

Using the matrix representation of Fourier integral operators with respect to a Gabor frame, we study their compactness on weighted modulation spaces. As a consequence, we recover and improve some compactness results for pseudodifferential operators.

year	journal	country	edition	language
2019-04-12	Transactions of the American Mathematical Society

https://doi.org/10.1090/tran/7668

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