A converse Steinhaus theorem for locally compact groups
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- by S. M. Simmons PDF
- Proc. Amer. Math. Soc. 49 (1975), 383-386 Request permission
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
- 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
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 49 (1975), 383-386
- MSC: Primary 43A05; Secondary 28A70
- DOI: https://doi.org/10.1090/S0002-9939-1975-0370057-0
- MathSciNet review: 0370057