Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus

DOI10.1007/978-3-0348-0585-8_7zbMath1273.35334OpenAlexW1817494343MaRDI QIDQ4914470

Joachim Toft

Publication date: 12 April 2013

Published in: Pseudo-Differential Operators, Generalized Functions and Asymptotics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0585-8_7

zbMATH Keywords

BeurlingmodulationToeplitzultra-distributionsWeyl productSchatten-von Neumann

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Distributions, generalized functions, distribution spaces (46F99)

Related Items (17)

The wavelet transforms in Gelfand-Shilov spaces ⋮ Factorizations and singular value estimates of operators with Gelfand-Shilov and Pilipović kernels ⋮ Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces ⋮ Strong ultra-regularity properties for positive elements in the twisted convolutions ⋮ Hilbert Space Embeddings for Gelfand–Shilov and Pilipović Spaces ⋮ Matrix Parameterized Pseudo-differential Calculi on Modulation Spaces ⋮ Decompositions of Gelfand-Shilov kernels into kernels of similar class ⋮ Sharp results for the Weyl product on modulation spaces ⋮ Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators ⋮ Schatten properties, nuclearity and minimality of phase shift invariant spaces ⋮ Images of function and distribution spaces under the Bargmann transform ⋮ On the Schatten-von Neumann properties of some pseudo-differential operators ⋮ Directional short-time Fourier transform of ultradistributions ⋮ Subexponential decay and regularity estimates for eigenfunctions of localization operators ⋮ Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces ⋮ Unnamed Item ⋮ Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes

Cites Work

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