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Lectures on Hermite and Laguerre Expansions
Udgivet af Princeton University Press
ISBN
9780691000480
Om denne bog
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 …
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Bogdetaljer
Forfatter
Sundaram Thangavelu
Forlag
Princeton University Press
Kategori
Grupper og gruppeteori
ISBN-13
9780691000480
EAN
9780691000480
Format
Hæftet
Sprog
Engelsk
sider
214
Produktbeskrivelse
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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