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This article is cited in 5 scientific papers (total in 5 papers)
Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics
The Dunkl convolution operators and multipoint de la Vallée–Poussin problem
K. R. Zabirovaa, V. V. Napalkovb a Ufa State Aviation Technical University, Ufa, 450000, Russia
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, 450077, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
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, de la Vallée–Poussin (Cauchy) problem, sufficient sets, space of entire functions.
Original article submitted 17/X/2012 revision submitted – 19/I/2013
Citation:
K. R. Zabirova, V. V. Napalkov, “The Dunkl convolution operators and multipoint de la Vallée–Poussin problem”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 70–81
Linking options:
https://www.mathnet.ru/eng/vsgtu1139 https://www.mathnet.ru/eng/vsgtu/v130/p70
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