Lectures on Hermite and Laguerre Expansions
Seiten
1993
Princeton University Press (Verlag)
978-0-691-00048-0 (ISBN)
Princeton University Press (Verlag)
978-0-691-00048-0 (ISBN)
The interplay between analysis on Lie groups and the theory of special functions is well known. This book deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. It develops Littlewood-Paley-Stein theory for the expansions and uses the theory to prove multiplier theorems.
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.
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.
Sundaram Thangavelu is a member of the Tata Institute of Fundamental Research in Bangalore, India.
| Erscheint lt. Verlag | 9.5.1993 |
|---|---|
| Reihe/Serie | Mathematical Notes |
| Verlagsort | New Jersey |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 312 g |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| ISBN-10 | 0-691-00048-4 / 0691000484 |
| ISBN-13 | 978-0-691-00048-0 / 9780691000480 |
| Zustand | Neuware |
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