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

An elementary proof of Steinhaus's theorem


Author: Karl Stromberg
Journal: Proc. Amer. Math. Soc. 36 (1972), 308
MSC: Primary 28A70; Secondary 43A05
MathSciNet review: 0308368
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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, 1979. Structure of topological groups, integration theory, group representations. MR 551496 (81k:43001)
  • [2] H. Steinhaus, Sur les distances des points des ensembles de mesure positive, Fund. Math. 1 (1920), 93-104.
  • [3] A. Weil, L'intégration dans les groupes topologiques et ses applications, 2ième éd., Actualités Sci. Indust., no. 869, Hermann, Paris, 1951.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0308368-4
PII: S 0002-9939(1972)0308368-4
Keywords: Haar measure, Steinhaus theorem
Article copyright: © Copyright 1972 American Mathematical Society