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Book Synopsis
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.

Lectures on Hermite and Laguerre Expansions

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    A Paperback / softback by Sundaram Thangavelu

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      Publisher: Princeton University Press
      Publication Date: 09/05/1993
      ISBN13: 9780691000480, 978-0691000480
      ISBN10: 0691000484
      Also in:
      Mathematics

      Description

      Book Synopsis
      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.

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