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Distributions : Theory and Applications

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Cover of 'Distributions : Theory and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Motivation
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    Chapter 2 Test Functions
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    Chapter 3 Distributions
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    Chapter 4 Differentiation of Distributions
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    Chapter 5 Convergence of Distributions
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    Chapter 6 Taylor Expansion in Several Variables
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    Chapter 7 Localization
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    Chapter 8 Distributions with Compact Support
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    Chapter 9 Multiplication by Functions
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    Chapter 10 Transposition: Pullback and Pushforward
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    Chapter 11 Convolution of Distributions
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    Chapter 12 Fundamental Solutions
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    Chapter 13 Fractional Integration and Differentiation
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    Chapter 14 Fourier Transform
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    Chapter 15 Distribution Kernels
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    Chapter 16 Fourier Series
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    Chapter 17 Fundamental Solutions and Fourier Transform
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    Chapter 18 Supports and Fourier Transform
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    Chapter 19 Sobolev Spaces
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    Chapter 20 Appendix: Integration
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    Chapter 21 Solutions to Selected Problems
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