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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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Finitely additive Radon-Nikodým theorem and concentration function of a probability with respect to a probability
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by Patrizia Berti, Eugenio Regazzini and Pietro Rigo PDF
Proc. Amer. Math. Soc. 114 (1992), 1069-1078 Request permission

Abstract:

An "exact" Radon-Nikodým theorem is obtained for a pair $(m,\mu )$ of finitely-additive probabilities, using a notion of concentration function of $\mu$ with respect to $m$. In addition, some direct consequences of that theorem are examined.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 1069-1078
  • MSC: Primary 60A10; Secondary 28A25, 28A60
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1045586-7
  • MathSciNet review: 1045586