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David Vernon Widder and Isidore Isaac Hirschman

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Convolution Transform

This chapter is in the book Convolution Transform

© 2016 Princeton University Press, Princeton

© 2016 Princeton University Press, Princeton

Chapters in this book

Frontmatter i
Preface v
Contents vii
CHAPTER I. Introduction 1
CHAPTER II. The Finite Kernels 17
CHAPTER III. The Non-Finite Kernels 37
CHAPTER IV. Variation Diminishing Transforms 83
CHAPTER V. Asymptotic Behaviour of Kernels 108
CHAPTER VI. Real Inversion Theory 120
CHAPTER VII. Representation Theory 146
CHAPTER VIII. The Weierstrass Transform 170
CHAPTER IX. Complex Inversion Theory 210
CHAPTER X. Miscellaneous Topics 240
Bibliography 261
Symbols and Notations 265
Index 266

https://doi.org/10.1515/9781400877072-toc

Chapters in this book

Frontmatter i
Preface v
Contents vii
CHAPTER I. Introduction 1
CHAPTER II. The Finite Kernels 17
CHAPTER III. The Non-Finite Kernels 37
CHAPTER IV. Variation Diminishing Transforms 83
CHAPTER V. Asymptotic Behaviour of Kernels 108
CHAPTER VI. Real Inversion Theory 120
CHAPTER VII. Representation Theory 146
CHAPTER VIII. The Weierstrass Transform 170
CHAPTER IX. Complex Inversion Theory 210
CHAPTER X. Miscellaneous Topics 240
Bibliography 261
Symbols and Notations 265
Index 266

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