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Journal of Lie Theory 26 (2016), No. 4, 1163--1175
Copyright Heldermann Verlag 2016

On the Integral Representations for Dunkl Kernels of Type A2

Béchir Amri
Université de Tunis El Manar, Faculté des Sciences de Tunis, Laboratoire d'Analyse Mathématiques et Applications, 2092 El Manar I, Tunisia

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].

Keywords: Dunkl operators, root systems, reflection groups.

MSC: 33E30; 17B22,20F55

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