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:
https://doi.org/10.1090/S0002-9939-1985-0770550-9

Article copyright:
© Copyright 1985
American Mathematical Society