马具 发表于 2025-3-25 05:27:13
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Induced Measures and Product MeasuresAssume that µ, ., and . are endowed with adequate properties. We define the measure µ/. induced by µ on . and see how to integrate with respect to this induced measure (Theorem 9.1.1)..9.2 Let µ′, µ′′ be two measures on semirings S′, S′′ (with Ω′, Ω′′ as their underlying sets, respectively). The measeroma 发表于 2025-3-26 01:40:49
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Change of Variablestween the Lebesgue decomposition of μ and the properties of its derivatives; for example, if .̄μ is finite everywhere, μ is absolutely continuous with respect to Lebesgue measure..12.2 First, we study the image of λ under a linear automorphism. The modulus of an automorphism of . is the absolute valNefarious 发表于 2025-3-26 16:23:45
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