Hypergeometric Functions of Second Kind and Spherical Functions on an Ordered Symmetric Space

We define new solutions of the hypergeometric system that are invariant with respect to a parabolic Weyl subgroup. They generalize the spherical functions of an ordered symmetric space. We study their properties with respect to monodromy, their analytic extensions and their boundary value on the ima...

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Bibliographic Details
Published in:Journal of functional analysis 2002-01, Vol.188 (1), p.137-155
Main Author: Unterberger, Jérémie M.
Format: Article
Language:English
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Summary:We define new solutions of the hypergeometric system that are invariant with respect to a parabolic Weyl subgroup. They generalize the spherical functions of an ordered symmetric space. We study their properties with respect to monodromy, their analytic extensions and their boundary value on the imaginary axis.
ISSN:0022-1236
1096-0783
DOI:10.1006/jfan.2001.3832