hal-00095153, version 1

On contractions of hypergeometric functions associated with root systems

Salem Ben Said () ¹, Bent Orsted ²

(2005) accepté pour publication

• 1:  Institut Elie Cartan Nancy (IECN)
• http://www.iecn.u-nancy.fr/
  CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL) France
• 2:  Aarhus University
• 
  Aarhus University Denmark

Bibliographic reference

• Type of document: Peer-reviewed conferences/proceedings
• Subject: Mathematics/Functional Analysis
• Title: On contractions of hypergeometric functions associated with root systems
• Abstract: In this paper we extend previous classes of generalized Bessel functions. This follows via a limit transition from Heckman-Opdam's results in the theory of hypergeometric functions. Our starting point is to obtain the Bessel functions associated with Cartan motion groups by means of Harish-Chandra's spherical functions. Bessel functions related to noncompact causal symmetric spaces are also investigated. This paper is a survey of recent results in [BO1] and [BO2].
• Fulltext language: English
• Book title: Séminaires et Congrès
• Publication date: 2005
• Page, identifiant, ...: accepté pour publication
• Commercial editor: Société Mathématiques de France
• Conference date: 2005

Attached file list to this document: 

• hal-00095153, version 1
• http://hal.archives-ouvertes.fr/hal-00095153
• oai:hal.archives-ouvertes.fr:hal-00095153
• From: Salem Ben Said <>
• Submitted on: Friday, 15 September 2006 12:39:18
• Updated on: Friday, 15 September 2006 13:03:32