Wilson Bases and Ultramodulation Spaces

DOI<link itemprop=identifier href="https://doi.org/10.1002/1522-2616(200207)242:1<179::AID-MANA179>3.0.CO;2-3" /><179::AID-MANA179>3.0.CO;2-3 10.1002/1522-2616(200207)242:1<179::AID-MANA179>3.0.CO;2-3zbMath1017.42021OpenAlexW2056759364MaRDI QIDQ4545937

Nenad Teofanov, Stevan Pilipović

Publication date: 18 August 2002

Full work available at URL: https://doi.org/10.1002/1522-2616(200207)242:1<179::aid-mana179>3.0.co;2-3

zbMATH Keywords

modulation spacesWilson basestempered ultradistributionultramodulation spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) General harmonic expansions, frames (42C15) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Distributions and ultradistributions as boundary values of analytic functions (46F20)

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Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces ⋮ Schatten-von Neumann properties for Fourier integral operators with non-smooth symbols. II ⋮ Translation-modulation invariant Banach spaces of ultradistributions ⋮ Spectral deviation of concentration operators for the short-time Fourier transform ⋮ Matrix Parameterized Pseudo-differential Calculi on Modulation Spaces ⋮ Sharp results for the Weyl product on modulation spaces ⋮ Pseudodifferential operators on ultra-modulation spaces. ⋮ Weighted modulation space \(M^s_{p,q}(w)\) with \(w \in A_\infty^{\text{loc}}\) ⋮ Extended Gevrey Regularity via the Short-Time Fourier Transform ⋮ Weyl product algebras and modulation spaces ⋮ Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus ⋮ SG-pseudodifferential operators and Gelfand-Shilov spaces ⋮ The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators ⋮ Schatten--von Neumann properties for Fourier integral operators with non-smooth symbols. I ⋮ Unnamed Item

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