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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On everywhere-defined integrals
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by Lester E. Dubins PDF
Trans. Amer. Math. Soc. 232 (1977), 187-194 Request permission

Abstract:

Hardly any finite integrals can be defined for all real-valued functions. In contrast, if infinity is admitted as a possible value for the integral, then every finite integral can be extended to all real-valued functions.
References
    Bruno de Finetti, Theory of probability, Vol. 1, Wiley, New York, 1975
  • Leonard J. Savage, The foundations of statistics, Second revised edition, Dover Publications, Inc., New York, 1972. MR 0348870
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 232 (1977), 187-194
  • MSC: Primary 28A30
  • DOI: https://doi.org/10.1090/S0002-9947-1977-0450489-9
  • MathSciNet review: 0450489