Real and functional analysis. 2nd ed. Part A: Real analysis (Q1100680)
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scientific article; zbMATH DE number 4044453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Real and functional analysis. 2nd ed. Part A: Real analysis |
scientific article; zbMATH DE number 4044453 |
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Real and functional analysis. 2nd ed. Part A: Real analysis (English)
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1984
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For a review on the first one volume edition (1978) see Zbl 0391.46001. This part contains chapters 1, 2, 3, 4, parts of chapter 5 and the first five sections of chapter 7 of the first edition together with additional material added to each of these chapters.
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fixed point theorems
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Stone-Weierstrass theorem
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Ascoli theorem
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Lebesgue measure
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outer measures
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non-Lebesgue-measurable sets
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inner measure
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measurable functions
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product measures
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Fubini's theorem
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differentiation of real-valued functions
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integration versus differentiation
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absolutely continuous functions
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absolutely continuous measures
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signed measures
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Radon-Nikodym theorem
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change of variables
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Daniell integral
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Borel and Baire sets
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Riesz representation theorems
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