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Explorations in Harmonic Analysis

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Cover of 'Explorations in Harmonic Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 Ontology and History of Real Analysis
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    Chapter 2 The Central Idea: The Hilbert Transform
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    Chapter 3 Essentials of the Fourier Transform
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    Chapter 4 Fractional and Singular Integrals
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    Chapter 5 A Crash Course in Several Complex Variables
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    Chapter 6 Pseudoconvexity and Domains of Holomorphy
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    Chapter 7 Canonical Complex Integral Operators
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    Chapter 8 Hardy Spaces Old and New
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    Chapter 9 Introduction to the Heisenberg Group
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    Chapter 10 Analysis on the Heisenberg Group
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    Chapter 11 A Coda on Domains of Finite Type
Attention for Chapter 2: The Central Idea: The Hilbert Transform
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