Compactness of Fourier Integral Operators on weighted modulation spaces

Compactness of Fourier Integral Operators on weighted modulation spaces

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.

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Veröffentlicht in:arXiv.org 2017-10
Hauptverfasser: Fernández, Carmen, Galbis, Antonio, Primo, Eva
Format: Artikel
Sprache:eng
Schlagworte:
Integrals
Matrix representation
Modulation
Operators (mathematics)
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Zusammenfassung: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.
ISSN:2331-8422