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Monotone Matrix Functions and Analytic Continuation

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Cover of 'Monotone Matrix Functions and Analytic Continuation'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries
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    Chapter 2 Pick Functions
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    Chapter 3 Pick Matrices and Loewner Determinants
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    Chapter 4 Fatou Theorems
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    Chapter 5 The Spectral Theorem
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    Chapter 6 One-Dimensional Perturbations
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    Chapter 7 Monotone Matrix Functions
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    Chapter 8 Sufficient Conditions
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    Chapter 9 Loewner’s Theorem
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    Chapter 10 Reproducing Kernels
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    Chapter 11 Nagy-Koranyi Proof of Loewner’s Theorem
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    Chapter 12 The Cauchy Interpolation Problem
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    Chapter 13 Interpolation by Pick Functions
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    Chapter 14 The Interpolation of Monotone Matrix Functions
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    Chapter 15 Almost Positive Matrices
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    Chapter 16 The Analytic Continuation of Bergman Kernels
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    Chapter 17 The Loewner-FitzGerald Theorem
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    Chapter 18 Loewner’s Differential Equation
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    Chapter 19 More Analytic Continuation
Attention for Chapter 10: Reproducing Kernels
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