A nonstandard functional approach to Fubini’s theorem

Loeb, Peter A.

doi:10.1090/S0002-9939-1985-0770550-9

A nonstandard functional approach to Fubini’s theorem
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Proc. Amer. Math. Soc. 93 (1985), 343-346 Request permission

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.

References

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