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

 

A converse Steinhaus theorem for locally compact groups


Author: S. M. Simmons
Journal: Proc. Amer. Math. Soc. 49 (1975), 383-386
MSC: Primary 43A05; Secondary 28A70
MathSciNet review: 0370057
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Abstract | References | Similar Articles | Additional Information

Abstract: Singular and absolutely continuous regular measures on locally compact groups are characterized in terms of the algebraic and topological structure of sets assigned positive measure.


References [Enhancements On Off] (What's this?)

  • [1] Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. MR 551496 (81k:43001)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0370057-0
PII: S 0002-9939(1975)0370057-0
Keywords: Absolute continuity, regularity of measures
Article copyright: © Copyright 1975 American Mathematical Society



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