Geodesic
The Dunkl convolution operators and multipoint de la Vall\'ee--Poussin problem
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 70-81

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The Dunkl operator as an object of mathematical physics is considered, we study the kernel and the surjectivity of Dunkl convolution operators in the space of entire functions and the space of entire functions of exponential type. The main result is the solution of the multipoint de la Vallée–Poussin problem for Dunkl convolution operators in the space of entire functions.
Keywords: Dunkl operators, Dunkl convolution, sufficient sets, space of entire functions.
Mots-clés : de la Vallée–Poussin (Cauchy) problem 
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K. R. Zabirova; V. V. Napalkov. The Dunkl convolution operators and multipoint de la Vall\'ee--Poussin problem. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 70-81. http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a7/