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Product Measures

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Part of the Graduate Texts in Mathematics book series (GTM,volume 282)

Abstract

Lebesgue measure on R generalizes the notion of the length of an interval. In this chapter, we see how two-dimensional Lebesgue measure on R2 generalizes the notion of the area of a rectangle. More generally, we construct new measures that are the products of two measures.

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© 2020 Sheldon Axler

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Axler, S. (2020). Product Measures. In: Measure, Integration & Real Analysis. Graduate Texts in Mathematics, vol 282. Springer, Cham. https://doi.org/10.1007/978-3-030-33143-6_5

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