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
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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
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