On contractions of hypergeometric functions associated with root systems
Ben Said, Salem ; Orsted, Bent
HAL, hal-00095153 / Harvested from HAL
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].
Publié le : 2005-07-05
Classification:  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]
@article{hal-00095153,
     author = {Ben Said, Salem and Orsted, Bent},
     title = {On contractions of hypergeometric functions associated with root systems},
     journal = {HAL},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00095153}
}
Ben Said, Salem; Orsted, Bent. On contractions of hypergeometric functions associated with root systems. HAL, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/hal-00095153/