On a class of convolution algebras of functions

DOI10.5802/aif.665zbMath0316.43004OpenAlexW2320409952MaRDI QIDQ1221257

Hans G. Feichtinger

Publication date: 1977

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1977__27_3_135_0

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Measure algebras on groups, semigroups, etc. (43A10)

Related Items

Abstract Banach convolution function modules over coset spaces of compact subgroups in locally compact groups, Fourier–Bessel series of compactly supported convolutions on disks, Product-Convolution Operators and Mixed-Norm Spaces, Banach convolution modules of group algebras on covariant functions of characters of normal subgroups, Abstract measure algebras over homogeneous spaces of compact groups, The order structure of the space of measures with continuous translation, Fourier-Zernike series of compactly supported convolutions on \(SE(2)\), Classical harmonic analysis over spaces of complex measures on coset spaces of compact subgroups, Multipliers of Banach spaces of functions on groups, On the continuity of pseudo-differential operators on multiplier spaces associated to Herz-type Triebel-Lizorkin spaces, Orlicz algebras on homogeneous spaces of compact groups and their abstract linear representations, Banach convolution algebras of functions II, Discrete spectra of convolutions of compactly supported functions on SE(2) using Sturm–Liouville theory, Fourier-Stieltjes transforms over homogeneous spaces of compact groups, A compactness criterion for translation invariant Banach spaces of functions, Compactness in translation invariant Banach spaces of distributions and compact multipliers, Fourier-Zernike series of convolutions on disks

Cites Work

• Harmonic analysis based on certain commutative Banach algebras
• On identifying the maximal ideals in Banach algebras
• Finite sections of Wiener-Hopf equations and Szegö polynomials
• Banach algebras which are ideals in a Banach algebra
• On the spectrum of convolution operators on groups with polynomial growth
• Nonfactorization in group algebras
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