Hypergeometric functions associated to cones of convex type in a Euclidean Jordan algebra

L. Barchini; S. Ben Saïd

doi:10.1016/S0022-1236(02)93959-5

Hypergeometric functions associated to cones of convex type in a Euclidean Jordan algebra

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Abstract

In this paper, we study a family of hypergeometric functions associated to cones of convex type in a Euclidean Jordan algebra. We obtain upper and lower bounds and give information about their singularities. The family under consideration was introduced by Sahi (Invent. Math. 110 (1992), 409-418) and it plays an important role in the construction of some small representations.

Original language	English
Pages (from-to)	213-230
Number of pages	18
Journal	Journal of Functional Analysis
Volume	194
Issue number	1
DOIs	https://doi.org/10.1016/S0022-1236(02)93959-5
Publication status	Published - Sept 10 2002
Externally published	Yes

Keywords

Euclidean Jordan algebra
Hypergeometric function
Indefinite orbit

ASJC Scopus subject areas

Analysis

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10.1016/S0022-1236(02)93959-5

Cite this

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AB - In this paper, we study a family of hypergeometric functions associated to cones of convex type in a Euclidean Jordan algebra. We obtain upper and lower bounds and give information about their singularities. The family under consideration was introduced by Sahi (Invent. Math. 110 (1992), 409-418) and it plays an important role in the construction of some small representations.

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KW - Hypergeometric function

KW - Indefinite orbit

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Hypergeometric functions associated to cones of convex type in a Euclidean Jordan algebra

Abstract

Keywords

ASJC Scopus subject areas

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