Lectures on Hermite and Laguerre Expansions
The interplay between analysis on Lie groups and the theory of special functions is well known. This monograph deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. The main thrust of the book is to develop a concrete Lit...
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Format: | eBook |
Language: | English |
Published: |
Princeton, New Jersey
Princeton University Press
1993, ©1993
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Series: | Mathematical Notes
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Online Access: | |
Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
Table of Contents:
- Frontmatter
- CONTENTS
- PREFACE
- ACKNOWLEDGEMENTS
- CHAPTER 1. HERMITE, SPECIAL HERMITE AND LAGUERRE FUNCTIONS
- CHAPTER 2. SPECIAL HERMITE EXPANSIONS
- CHAPTER 3. MULTIPLE HERMITE EXPANSIONS
- CHAPTER 4. MULTIPLIERS FOR HERMITE EXPANSIONS
- CHAPTER 5 HERMITE EXPANSIONS ON IR
- CHAPTER 6. LAGUERRE EXPANSIONS
- CHAPTER 7. THE TRANSPLANTATION THEOREMS
- BIBLIOGRAPHY