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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Metric invariance of Haar measure
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by Christoph Bandt PDF
Proc. Amer. Math. Soc. 87 (1983), 65-69 Request permission

Abstract:

Let $d$ be a left invariant metric for a locally compact group $G$. We prove that isometric subsets of $(G,d)$ have equal Haar measure.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 87 (1983), 65-69
  • MSC: Primary 43A05; Secondary 28C10
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0677233-2
  • MathSciNet review: 677233