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Distributions, Partial Differential Equations, and Harmonic Analysis

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Cover of 'Distributions, Partial Differential Equations, and Harmonic Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 Weak Derivatives
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    Chapter 2 The Space $$\mathcal{D}^{\prime}(\Omega )$$ of Distributions
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    Chapter 3 The Schwartz Space and the Fourier Transform
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    Chapter 4 The Space of Tempered Distributions
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    Chapter 5 The Concept of a Fundamental Solution
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    Chapter 6 Hypoelliptic Operators
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    Chapter 7 The Laplacian and Related Operators
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    Chapter 8 The Heat Operator and Related Versions
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    Chapter 9 The Wave Operator
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    Chapter 10 The Lamé and Stokes Operators
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    Chapter 11 More on Fundamental Solutions for Systems
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    Chapter 12 Solutions to Selected Exercises
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    Chapter 13 Appendix
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