A Nonstandard Functional Approach to Fubini's Theorem
Copyright policy )A Nonstandard Functional Approach to Fubini's Theorem
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.
Measures and integrals in product spaces, Weil formula for quotient groups of compact Abelian groups, Nonstandard models in mathematics, Keisler-Fubini theorem, nonstandard analysis, Nonstandard analysis, Classical measure theory
Measures and integrals in product spaces, Weil formula for quotient groups of compact Abelian groups, Nonstandard models in mathematics, Keisler-Fubini theorem, nonstandard analysis, Nonstandard analysis, Classical measure theory
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