


Lectures on Hermite and Laguerre Expansions. (MN42) 
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 LittlewoodPaleyStein theory for these expansions and use the theory to prove multiplier theorems. The questions of almosteverywhere and mean convergence of BochnerRiesz means are also treated. Most of the results in this monograph appear for the first time in book form. Series:
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