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(Paperback)

By: Sundaram Thangavelu

ISBN: 9780691000480
Readership/Audience: Professional and Scholarly
Publication Date: May 1993
Publisher: Princeton University Press
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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.