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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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Bibliographic Details
Main Author: Thangavelu, Sundaram
Format: eBook
Language:English
Published: Princeton, New Jersey Princeton University Press 1993, ©1993
Series:Mathematical Notes
Subjects:
Hermite Polynomials
Laguerre Polynomials
Representations Of Groups
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

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