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Lectures on Hermite and Laguerre Expansions

Af: Sundaram Thangavelu Engelsk Paperback

Lectures on Hermite and Laguerre Expansions

Af: Sundaram Thangavelu Engelsk Paperback
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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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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.

Produktdetaljer
Sprog: Engelsk
Sider: 214
ISBN-13: 9780691000480
Indbinding: Paperback
Udgave:
ISBN-10: 0691000484
Udg. Dato: 9 maj 1993
Længde: 16mm
Bredde: 228mm
Højde: 152mm
Forlag: Princeton University Press
Oplagsdato: 9 maj 1993
Forfatter(e): Sundaram Thangavelu
Forfatter(e) Sundaram Thangavelu


Kategori Grupper og gruppeteori


ISBN-13 9780691000480


Sprog Engelsk


Indbinding Paperback


Sider 214


Udgave


Længde 16mm


Bredde 228mm


Højde 152mm


Udg. Dato 9 maj 1993


Oplagsdato 9 maj 1993


Forlag Princeton University Press

Kategori sammenhænge