Boundedness of pseudodifferential operators on modulation spaces.

DOI10.1016/S0022-247X(03)00364-0zbMath1044.47036MaRDI QIDQ1406542

Wojciech Czaja

Publication date: 4 September 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

boundednesspseudodifferential operatorsmodulation spacesGabor transformshort-time Fourier transform

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Maximal functions, Littlewood-Paley theory (42B25) Pseudodifferential operators (47G30)

Related Items

Oscillatory hyper-Hilbert transform on Wiener amalgam spaces, On a (no longer) new Segal algebra: a review of the Feichtinger algebra, Mapping properties of certain oscillatory integrals on modulation spaces, Sampling of operators, Boundedness of multilinear pseudo-differential operators on modulation spaces, Some remarks on compact Weyl operators, Schatten class Fourier integral operators, Banach frames for multivariate \(\alpha\)-modulation spaces, Mixed modulation spaces and their application to pseudodifferential operators

Cites Work

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• Banach spaces related to integrable group representations and their atomic decompositions. I
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• Foundations of time-frequency analysis
• Harmonic analysis of the de Rham complex on the sphere.
• Pseudodifferential operators on modulation spaces