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Mathematical Notes
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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 Littlewood-Paley-Stein theory for these expansions and use the theory to prove multiplier theorems. The questions of almost-everywhere and mean convergence of Bochner-Riesz means are also treated. Most of the results in this monograph appear for the first time in book form.
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Yes, you can access Mathematical Notes by Sundaram Thangavelu in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Cover Page
- Half-title Page
- Title Page
- Copyright Page
- Dedication Page
- 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 1R,
- Chapter 6: Laguerre Expansions
- Chapter 7: The Transplantation Theorems
- Bibliography