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Lectures on Choquet’s Theorem

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Cover of 'Lectures on Choquet’s Theorem'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction. The Krein-Milman theorem as an integral representation theorem
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    Chapter 2 Application of the Krein-Milman theorem to completely monotonic functions
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    Chapter 3 Choquet’s theorem: The metrizable case.
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    Chapter 4 The Choquet-Bishop-de Leeuw existence theorem
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    Chapter 5 Applications to Rainwater’s and Haydon’s theorems
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    Chapter 6 A new setting: The Choquet boundary
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    Chapter 7 Applications of the Choquet boundary to resolvents
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    Chapter 8 The Choquet boundary for uniform algebras
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    Chapter 9 The Choquet boundary and approximation theory
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    Chapter 10 Uniqueness of representing measures.
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    Chapter 11 Properties of the resultant map
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    Chapter 12 Application to invariant and ergodic measures
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    Chapter 13 A method for extending the representation theorems: Caps
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    Chapter 14 A different method for extending the representation theorems
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    Chapter 15 Orderings and dilations of measures
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    Chapter 16 Additional Topics
Attention for Chapter 1: Introduction. The Krein-Milman theorem as an integral representation theorem
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