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Constant term identities and hypergeometric functions on spaces of Hermitian matrices

โœ Scribed by Kenneth I. Gross; Donald St.P. Richards


Book ID
103798151
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
407 KB
Volume
34
Category
Article
ISSN
0378-3758

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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