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Titlebook: Advanced Integration Theory; Corneliu Constantinescu,Wolfgang Filter,Alexia Son Book 1998 Springer Science+Business Media New York 1998 La

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https://doi.org/10.1007/978-94-007-0852-5Lattice; Probability theory; integral transform; measure; real analysis
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Mathematics and Its Applicationshttp://image.papertrans.cn/a/image/145762.jpg
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https://doi.org/10.1007/978-1-137-04513-3is to form μ-equivalence classes by partitioning the set .(ℜ). For arbitrary . ⊃ .), we then associate to . ∈ the μ-equivalence class determined by the restriction of . to .). This choice simplifies matters somewhat when we work with different sets at the same time.
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Book 1998analysts, that combines integration and topology. As long as the underlying topological space is reasonably nice (e.g., locally compact with countable basis) the abstract theory and the topological theory yield the same results, but for more compli­ cated spaces the topological theory gives stronger
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Book 1998 in this book is de­ fined in such a way that it coincides in the case of Radon measures on Hausdorff spaces with the usual definition in the literature. As a consequence, our integral can differ in the classical case. Our integral, however, is more inclusive. It was defined in the book "C. Constantinescu and K. Weber (in collaboration with A.
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