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| Detailed view | Article in peer-reviewed journal |
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| International Mathematics Research Notices 9 (2005) 551--585 |
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| Bessel functions for root systems via the trigonometric setting |
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| Salem Ben Said1Bent Orsted2 |
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| 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. |
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| 1: | IECN - Institut Elie Cartan Nancy |
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| 2: | Aarhus University |
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| 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 | |
