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A Basis Theory Primer

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Cover of 'A Basis Theory Primer'

Table of Contents

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    Book Overview
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    Chapter 1 Banach Spaces and Operator Theory
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    Chapter 2 Functional Analysis
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    Chapter 3 Unconditional Convergence of Series in Banach and Hilbert Spaces
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    Chapter 4 Bases in Banach Spaces
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    Chapter 5 Biorthogonality, Minimality, and More About Bases
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    Chapter 6 Unconditional Bases in Banach Spaces
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    Chapter 7 Bessel Sequences and Bases in Hilbert Spaces
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    Chapter 8 Frames in Hilbert Spaces
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    Chapter 9 The Fourier Transform on the Real Line
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    Chapter 10 Sampling, Weighted Exponentials, and Translations
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    Chapter 11 Gabor Bases and Frames
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    Chapter 12 Wavelet Bases and Frames
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    Chapter 13 Fourier Series
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    Chapter 14 Basis Properties of Fourier Series
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    Chapter 15 Lebesgue Measure and Integration
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    Chapter 16 Compact and Hilbert–Schmidt Operators
Attention for Chapter 14: Basis Properties of Fourier Series
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