Journal of Lie Theory

no. 4
On the Integral Representations for Dunkl Kernels of Type A2
Journal of Lie Theory, Volume 26 (2016) no. 4, pp. 1163-1175
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].
DOI: 10.5802/jolt.927
Classification: 33E30, 17B22,20F55
Keywords: Dunkl operators, root systems, reflection groups 
@article{JOLT_2016_26_4_a9,
     author = {B. 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},
     doi = {10.5802/jolt.927},
     zbl = {1354.33018},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.927/}
}
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%J Journal of Lie Theory
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B. Amri. On the Integral Representations for Dunkl Kernels of Type A2. Journal of Lie Theory, Volume 26 (2016) no. 4, pp. 1163-1175. doi: 10.5802/jolt.927

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