Measures with natural spectra on locally compact abelian groups-Reference-Cited by-同舟云学术

Measures with natural spectra on locally compact abelian groups

Published:1998 Issue:8 Volume:126 Page:2351-2353
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hatori Osamu

Abstract

Every bounded regular Borel measure on noncompact LCA groups is a sum of an absolutely continuous measure and a measure with natural spectrum. The set of bounded regular Borel measures with natural spectrum on a nondiscrete LCA group G G whose Fourier-Stieltjes transforms vanish at infinity is closed under addition if and only if G G is compact.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-08/S0002-9939-98-04288-9/S0002-9939-98-04288-9.pdf

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4. Fourier-Stieltjes transforms of measures on independent sets;Rudin, Walter;Bull. Amer. Math. Soc.,1960

5. Sur les mesures de Radon d’un groupe localement compact abélien;Varopoulos, Nicholas Th.;C. R. Acad. Sci. Paris,1964

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