Hypergeometric functions of second kind and spherical functions on an ordered symmetric space
type: Item
instance of: scholarly article
title: Hypergeometric functions of second kind and spherical functions on an ordered symmetric space
zbMATH Open document ID: 0993.43007
author: Jeremie Unterberger
published in: Journal of Functional Analysis
publication date: 2002-07-04T00:00:00Z
review text: Spherical functions play an important role in harmonic analysis and they satisfy hypergeometric systems. A lot of work has been done on the generalization of spherical functions, in particular, on hypergeometric functions, which are solutions of hypergeometric systems. In this paper, new solutions of the hypergeometric systems on ordered symmetric spaces are obtained, and their basic properties such as analytic continuation and boundary values are studied.
reviewed by: Lizhen Ji
Mathematics Subject Classification ID: 43A85
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 1763770
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: spherical functions
zbMATH Keywords: ordered symmetric spaces
MaRDI profile type: Publication
full work available at URL: jfan.2001.3832
OpenAlex ID: W2075215039
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DOI: 10.1006/JFAN.2001.3832
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description: scientific article; zbMATH DE number 1763770