Gelfand–Shilov window classes for weighted modulation spaces

DOI10.1080/10652460701510709zbMath1138.46029OpenAlexW2080125262MaRDI QIDQ5438027

Elena Cordero

Publication date: 28 January 2008

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

Full work available at URL: https://doi.org/10.1080/10652460701510709

zbMATH Keywords

modulation spacesGelfand-Shilov spacesultra-distributionsshort-time Fourier transform (STFT)

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Pseudodifferential operators (47G30) General integral transforms (44A05)

Related Items (9)

Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces ⋮ Gabor representations of evolution operators ⋮ Matrix Parameterized Pseudo-differential Calculi on Modulation Spaces ⋮ Sharp results for the Weyl product on modulation spaces ⋮ Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus ⋮ Quasianalytic Gelfand-Shilov spaces with application to localization operators ⋮ Exponentially sparse representations of Fourier integral operators ⋮ Subexponential decay and regularity estimates for eigenfunctions of localization operators ⋮ Wave packet analysis of Schrödinger equations in analytic function spaces

Cites Work

• Banach spaces related to integrable group representations and their atomic decompositions. I
• Banach spaces related to integrable group representations and their atomic decompositions. II
• On a new Segal algebra
• Localization of frames, Banach frames, and the invertibility of the frame operator
• Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients
• Localization operators and exponential weights for modulation spaces
• Symbolic calculus and Fredholm property for localization operators
• Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions
• Characterizations of the Gelfand-Shilov spaces via Fourier transforms

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