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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On a theorem of Figà-Talamanca


Author: Martin E. Walter
Journal: Proc. Amer. Math. Soc. 60 (1976), 72-74
MSC: Primary 43A30
MathSciNet review: 0420149
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Abstract: We give an example of a noncompact, unimodular group G with the property that $ B(G) \cap {C_0}(G) = A(G)$, where $ A(G)$ is the Fourier algebra of G, $ B(G)$ is the Fourier-Stieltjes algebra of G and $ {C_0}(G)$ is the set of all complex, continuous functions on G vanishing at infinity. This example answers negatively a question raised by A. Figà-Talamanca.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0420149-3
PII: S 0002-9939(1976)0420149-3
Keywords: Fourier and Fourier-Stieltjes algebra, inverse Fourier transform for nonabelian groups, positive definite function, singular Fourier-Stieltjes series
Article copyright: © Copyright 1976 American Mathematical Society