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Harmonic analysis on the Fourier algebras A1, p(G)

Part of: Abstract harmonic analysis Commutative Banach algebras and commutative topological algebras Topological algebras, normed rings and algebras, Banach algebras

Published online by Cambridge University Press:  09 April 2009

Hang-Chin Lai  and
Ing-Sheun Chen
Hang-Chin Lai
Affiliation:
Institute of Mathematics, National Tsing Hua University Hsinchu, Taiwan
Ing-Sheun Chen
Affiliation:
Department of Applied Mathematics, Fengchia University, Taichung, Taiwan
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Abstract

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Let G be a locally compact group G (which may be non-abelian) and Ap(G) the p-Fourier algebra of Herz (1971). This paper is concerned with the Fourier algebra Al, p(G) = Ap(G) ∩ L1(G) and various relations that exist between Al, p(G), Ap(G) and G.

Keywords

Banach algebraFourier algebraamenable groupfactorization propertyweak factorization propertymultiplier

MSC classification

Secondary: 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc. 43A20: $L^1$-algebras on groups, semigroups, etc. 46H10: Ideals and subalgebras 46H20: Structure, classification of topological algebras 46J20: Ideals, maximal ideals, boundaries
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 30 , Issue 4 , April 1981 , pp. 438 - 452
Copyright
Copyright © Australian Mathematical Society 1981

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