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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A nonstandard functional approach to Fubini's theorem


Author: Peter A. Loeb
Journal: Proc. Amer. Math. Soc. 93 (1985), 343-346
MSC: Primary 28E10
MathSciNet review: 770550
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Abstract: In this note we use a functional approach to the integral to obtain a special case of the Keisler-Fubini theorem; the general case can be obtained with a similar proof. An immediate application is the standard Fubini theorem for products of Radon measures. Similar methods give the Weil formula for quotient groups of compact Abelian groups.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0770550-9
PII: S 0002-9939(1985)0770550-9
Article copyright: © Copyright 1985 American Mathematical Society