arXiv:1710.06210 Abstract | arXiv Analytics

arXiv:1710.06210 [math.FA]Abstract References Reviews Resources

Compactness of Fourier Integral Operators on weighted modulation spaces

Carmen Fernández, Antonio Galbis, Eva Primo

Published 2017-10-17Version 1

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.

Categories: math.FA

Subjects: 35S30, 47G30, 42C15

Keywords: fourier integral operators, weighted modulation spaces, pseudodifferential operators, matrix representation, compactness results

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