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Lectures on Hermite and Laguerre Expansions. (Mn-42), Volume 42
Paperback
Series: Mathematical Notes, Book 103
ISBN13: 9780691000480
Publisher: Princeton Univ Pr
Published: May 9 1993
Pages: 214
Weight: 0.60
Height: 0.59 Width: 6.14 Depth: 9.21
Language: English
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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