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Uniform approximation by Fourier–Stieltjes transforms†

Published online by Cambridge University Press:  24 October 2008

Donald E. Ramirez
Donald E. Ramirez
Affiliation:
University of Washington, University of Virginia
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Extract

Let G be a locally compact Abelian group; Γ the dual group of G; CB(Γ) the algebra of continuous, bounded functions on Γ C0(Γ) the algebra of continuous functions on Γ which vanish at infinity; M(G) the algebra of bounded Borel measures on G; M(G)^ the algebra of Fourier–Stieltjes transforms; and M(G)^− the completion of M(G)^ in the sup-norm topology on Γ. The object of this paper is to study the natural pairing between M(G)^ and M(Γ).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 323 - 333
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

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