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Bessel functions for root systems via the trigonometric setting Ben Said S. et al International Mathematics Research Notices 9 (2005) 551--585 - http://hal.archives-ouvertes.fr/hal-00095073

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Author(s)	Salem Ben Said ()1, Bent Orsted2
Laboratory	1:  IECN - Institut Elie Cartan Nancy 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
Subject	Mathematics/Functional Analysis
Title	Bessel functions for root systems via the trigonometric setting
Abstract	By taking an appropriate limit, we obtain the Bessel functions related to root systems as limit of Heckman-Opdam hypergeometric functions . A more general class of Bessel functions is also investigated, which we shall call the \Theta-Bessel functions. Explicit formuals for the \Theta-Bessel functions are obtained when the multiplicity functions are even and positive integer-valued. This class encloses the Bessel functions on the tangent space at the origin of non-compact causal symmetric spaces, were an integral representation for these special functions is shown.
Fulltext language	English
Journal	International Mathematics Research Notices
Publication date	2005
Volume	9
Page, identifiant, ...	551--585

hal-00095073, version 1

http://hal.archives-ouvertes.fr/hal-00095073

oai:hal.archives-ouvertes.fr:hal-00095073

From: Salem Ben Said <>

Submitted on: Friday, 15 September 2006 11:42:26

Updated on: Friday, 15 September 2006 12:08:02