Contents

Chapters in this book

1. Frontmatter i
2. Preface v
3. Contents vii
4. 1 Introduction 1
5. 2 Definition and First Properties of Distributions 3
6. 3 Differentiating Distributions 9
7. 4 Multiplication and Convergence of Distributions 22
8. 5 Distributions with Compact Support 26
9. 6 Convolution of Distributions 31
10. 7 The Fourier Transform 52
11. 8 The Laplace Transform 74
12. 9 Summable Distributions 82
13. 10 Appendix 90
14. 11 Hints to the Exercises 102
15. References 107
16. Index 109
17. Backmatter 111