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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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Article copyright: © Copyright 1985 American Mathematical Society