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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Absolutely continuous and locally quasi-invariant measures on locally compact semigroups
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by Henry A. M. Dzinotyiweyi
Proc. Amer. Math. Soc. 69 (1978), 49-55
DOI: https://doi.org/10.1090/S0002-9939-1978-0476907-4

Abstract:

Let S be a locally compact semigroup and T a locally compact subsemigroup of S. It is shown that, for a large class of semigroups S, if T is ’reasonably large’, the absolutely continuous measures on T extend to measures whose translates by some points of S are absolutely continuous on S. As a consequence we prove the absolute continuity of translates of some measures related to a locally quasi-invariant measure.
References
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Bibliographic Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 69 (1978), 49-55
  • MSC: Primary 22A20; Secondary 43A05
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0476907-4
  • MathSciNet review: 0476907