Distributions

Theory and Applications

Authors:

ISBN: 978-0-8176-4672-1 (Print) 978-0-8176-4675-2 (Online)

Table of contents (21 chapters)

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  1. Front Matter

    Pages i-xvi

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    Book Chapter

    Pages 1-15

    Motivation

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    Book Chapter

    Pages 17-32

    Test Functions

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    Book Chapter

    Pages 33-44

    Distributions

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    Book Chapter

    Pages 45-49

    Differentiation of Distributions

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    Book Chapter

    Pages 51-58

    Convergence of Distributions

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    Book Chapter

    Pages 59-63

    Taylor Expansion in Several Variables

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    Book Chapter

    Pages 65-70

    Localization

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    Book Chapter

    Pages 71-82

    Distributions with Compact Support

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    Book Chapter

    Pages 83-90

    Multiplication by Functions

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    Book Chapter

    Pages 91-113

    Transposition: Pullback and Pushforward

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    Book Chapter

    Pages 115-136

    Convolution of Distributions

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    Book Chapter

    Pages 137-152

    Fundamental Solutions

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    Book Chapter

    Pages 153-176

    Fractional Integration and Differentiation

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    Book Chapter

    Pages 177-220

    Fourier Transform

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    Book Chapter

    Pages 221-236

    Distribution Kernels

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    Book Chapter

    Pages 237-270

    Fourier Series

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    Book Chapter

    Pages 271-285

    Fundamental Solutions and Fourier Transform

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    Book Chapter

    Pages 287-310

    Supports and Fourier Transform

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    Book Chapter

    Pages 311-320

    Sobolev Spaces

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    Book Chapter

    Pages 321-347

    Appendix: Integration

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