Some remarks on compact Weyl operators

DOI10.1080/10652460701445476zbMath1131.47029OpenAlexW2089612989MaRDI QIDQ5422422

Carmen Fernández, Antonio Galbis

Publication date: 19 October 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701445476

zbMATH Keywords

tempered distributioncompact operatorsWeyl operatorsWigner transformlocalization operators

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on function spaces (general) (47B38)

Related Items (5)

Decay and smoothness for eigenfunctions of localization operators ⋮ A Wiener Tauberian theorem for operators and functions ⋮ Multilinear Fourier multipliers related to time-frequency localization ⋮ Annihilating sets for the short time Fourier transform ⋮ Compactness of Fourier integral operators on weighted modulation spaces

Cites Work

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• On a new Segal algebra
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• Boundedness of pseudodifferential operators on modulation spaces.
• Time-frequency analysis of localization operators.
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Generalized Anti-Wick operators with symbols in distributional Sobolev spaces
• Compactness of time-frequency localization operators on \(L^2(\mathbb R^d)\)
• Time-frequency localization operators: a geometric phase space approach
• Interpolation of compact operators by the methods of Calderón and Gustavsson–Peetre
• Pseudodifferential operators on modulation spaces

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