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

✍ Scribed by Jérémie M. Unterberger

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
177 KB
Volume
188
Category
Article
ISSN
0022-1236

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✦ Synopsis

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.

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