Geodesic
Generalized Dunkl operator
Ufa mathematical journal, Tome 6 (2014) no. 1, pp. 56-65

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In the paper we introduce a generalized Dunkl operator acting in the space of entire functions on $\mathbb C$. We study problems of harmonic analysis related with this operator and show its connection with the Gelfond–Leont'ev operator of generalized differentiation.
Keywords: Dunkl operator, eigenfunction, Dunkl convolution operator, Dunkl transform, characteristic function, hypercyclic operator. 
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     author = {I. I. Karamov and V. V. Napalkov},
     title = {Generalized {Dunkl} operator},
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I. I. Karamov; V. V. Napalkov. Generalized Dunkl operator. Ufa mathematical journal, Tome 6 (2014) no. 1, pp. 56-65. http://geodesic.mathdoc.fr/item/UFA_2014_6_1_a4/