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Complex analysis : a functional analysis approach

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Cover of 'Complex analysis : a functional analysis approach'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries: Set Theory and Topology
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    Chapter 2 Preliminaries: Vector Spaces and Complex Variables
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    Chapter 3 Properties of C (G) and H (G)
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    Chapter 4 More about C (G) and H (G)
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    Chapter 5 Duality
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    Chapter 6 Duality of H (G)—The Case of the Unit Disc
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    Chapter 7 The Hahn-Banach Theorem, and Applications
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    Chapter 8 More Applications
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    Chapter 9 The Dual of H (G)
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    Chapter 10 Runge’s Theorem
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    Chapter 11 The Cauchy Theorem
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    Chapter 12 Constructive Function Theory
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    Chapter 13 Ideals in H (G)
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    Chapter 14 The Riemann Mapping Theorem
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    Chapter 15 Carathéodory Kernels and Farrell’s Theorem
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    Chapter 16 Ring (not Algebra) Isomorphisms of H (G)
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    Chapter 17 Dual Space Topologies
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    Chapter 18 Interpolation
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    Chapter 19 Gap-Interpolation Theorems
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    Chapter 20 First-Order Conformal Invariants
Attention for Chapter 11: The Cauchy Theorem
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