Geodesic
On the Integral Representations for Dunkl Kernels of Type A2
Béchir Amri1
1Université de Tunis El Manar, Faculté des Sciences de Tunis, Laboratoire d'Analyse Mathématiques et Applications, 2092 El Manar I, Tunisia
Journal of Lie Theory, Tome 26 (2016) no. 4, pp. 1163-1175

Voir la notice de l'article provenant de la source Heldermann Verlag

We give an explicit integral formula for the Dunkl kernel associated to root system of type A2 and parameter k > 0, by exploiting previous results of B. Amri [Note on Bessel functions of type AN-1, Integral Transforms and Special Functions 25 (2014) 448--461].
Classification : 33E30, 17B22,20F55
Mots-clés : Dunkl operators, root systems, reflection groups

Béchir Amri  1

1 Université de Tunis El Manar, Faculté des Sciences de Tunis, Laboratoire d'Analyse Mathématiques et Applications, 2092 El Manar I, Tunisia 
Béchir Amri. On the Integral Representations for Dunkl Kernels of Type A2. Journal of Lie Theory, Tome 26 (2016) no. 4, pp. 1163-1175. http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a9/
@article{JOLT_2016_26_4_a9,
     author = {B\'echir Amri},
     title = {On the {Integral} {Representations} for {Dunkl} {Kernels} of {Type} {A\protect\textsubscript{2}}},
     journal = {Journal of Lie Theory},
     pages = {1163--1175},
     year = {2016},
     volume = {26},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a9/}
}
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