Banach spaces of distributions having two module structures

DOI10.1016/0022-1236(83)90025-3zbMath0515.46045OpenAlexW2083929598MaRDI QIDQ1051860

J. Blot

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90025-3

zbMATH Keywords

convolutionmultipliersBanach modulesBeurling algebraBanach spaces of distributionsdistributions on groupsdouble Banach modulesdouble completionmodule completionrelative completiontest functions on groups

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Linear operators on function spaces (general) (47B38) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Topological linear spaces of test functions, distributions and ultradistributions (46F05) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

Gabor frame characterizations of generalized modulation spaces, Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property, Poisson integrals for standard weighted Laplacians in the unit disc, Elements of Postmodern Harmonic Analysis, Translation-modulation invariant Banach spaces of ultradistributions, Choosing Function Spaces in Harmonic Analysis, Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions, Fourier series with the continuous primitive integral, A Wiener Tauberian theorem for operators and functions, Completeness of shifted dilates in invariant Banach spaces of tempered distributions, Banach spaces related to integrable group representations and their atomic decompositions. II, The Radon-Nikodym property for some Banach algebras related to the Fourier algebra, Some intersections of the weighted \(L^p\)-spaces, Unnamed Item, Compactness in translation invariant Banach spaces of distributions and compact multipliers, Wiener amalgam spaces of quasianalytic ultradistributions, Modulation spaces associated with tensor products of amalgam spaces

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