Narayanan, EK and Pasquale, A (2022) Hypergeometric Functions of Type BC and Standard Multiplicities. In: International Mathematics Research Notices, 2022 (19). pp. 15111-15154.
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Abstract
We study the Heckman–Opdam hypergeometric functions associated with a root system of type BC and a multiplicity function that is allowed to assume some nonpositive values (a standard multiplicity function). For such functions, we obtain positivity properties and sharp estimates that imply a characterization of the bounded hypergeometric functions. As an application, our results extend the known properties of Harish-Chandra’s spherical functions on Riemannian symmetric spaces of the non-compact type G/K to spherical functions over homogeneous vector bundles on G/K, which are associated with certain small K-types.
| Item Type: | Journal Article |
|---|---|
| Publication: | International Mathematics Research Notices |
| Publisher: | Oxford University Press |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 15 Jun 2023 09:07 |
| Last Modified: | 15 Jun 2023 09:07 |
| URI: | https://eprints.iisc.ac.in/id/eprint/82002 |
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