Bohr compactification and continuous measures-Reference-Cited by-同舟云学术

Bohr compactification and continuous measures

Published:1980 Issue:2 Volume:80 Page:244-246
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Saeki Sadahiro

Abstract

Let G be an LCA group with dual Γ \Gamma . As a consequence of our main result, it is shown that every continuous regular measure μ \mu concentrated on a Kronecker set and with norm > 1 {\text {norm}} > 1 has the property that { | μ ^ | > 1 } \{ |\hat \mu | > 1\} is dense in the Bohr compactification of Γ \Gamma .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1980-080-02/S0002-9939-1980-0577752-0/S0002-9939-1980-0577752-0.pdf

Reference3 articles.

1. A class of multiplicative linear functionals on the measure algebra of a locally compact Abelian group;Hewitt, Edwin;Illinois J. Math.,1960

2. Interscience Tracts in Pure and Applied Mathematics, No. 12;Rudin, Walter,1962

3. Y. Katznelson, Sequences of integers dense in the Bohr group, Proc. Roy. Inst. Tech. (Stockholm) (1973), 79-86.

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