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Title: LECTURES ON HERMITE AND LAGUERRE EXPANSIONS. (MN-42), VOLUME 42
By: Sundaram Thangavelu
Format: Paperback

List price: £82.00
Our price: £65.60
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ISBN 10: 0691000484
ISBN 13: 9780691000480
Availability: Usually dispatched within 1-3 weeks.
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Publisher: PRINCETON UNIVERSITY PRESS
Pub. date: 19 April, 1993
Series: Mathematical Notes 42
Pages: 214
Description: 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.
Synopsis: 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.
Publication: US
Imprint: Princeton University Press
Returns: Returnable
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