| Lectures on Hermite and Laguerre Expansions. (Mn-42), Volume 42 Contributor(s): Thangavelu, Sundaram (Author) |
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ISBN: 0691000484 ISBN-13: 9780691000480 Publisher: Princeton University Press OUR PRICE: $90.25 Product Type: Paperback - Other Formats Published: May 1993 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Algebra - Abstract |
| Dewey: 515.55 |
| LCCN: 93016643 |
| Series: Mathematical Notes |
| Physical Information: 0.59" H x 6.14" W x 9.21" (0.60 lbs) 214 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |