Title

The generalized Segal-Bargmann transform and special functions

Document Type

Conference Proceeding

Publication Date

3-1-2004

Abstract

Analysis of function spaces and special functions are closely related to the representation theory of Lie groups. We explain here the connection between the Laguerre functions, the Laguerre polynomials, and the Meixner-Pollacyck polynomials on the one side, and highest weight representations of Hermitian Lie groups on the other side. The representation theory is used to derive differential equations and recursion relations satisfied by those special functions.

Publication Source (Journal or Book title)

Acta Applicandae Mathematicae

First Page

29

Last Page

50

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