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 | |
| 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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