The Dunkl convolution operators and multipoint de la Vallée–Poussin problem

The Dunkl convolution operators and multipoint de la Vallée–Poussin problem

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–Pouss...

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Main Authors: V. V. Napalkov, K. R. Zabirova
Format: Article
Language:English
Published: Samara State Technical University 2013-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1139
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spelling doaj-4780292e2a3a4e91a792a025b813844c2020-11-25T01:42:21ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-03-011(30)708110.14498/vsgtu1139 The Dunkl convolution operators and multipoint de la Vallée–Poussin problemV. V. NapalkovK. R. ZabirovaThe 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.http://mi.mathnet.ru/eng/vsgtu1139
collection DOAJ
language English
format Article
sources DOAJ
author V. V. Napalkov
K. R. Zabirova
spellingShingle V. V. Napalkov
K. R. Zabirova
The Dunkl convolution operators and multipoint de la Vallée–Poussin problem
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet V. V. Napalkov
K. R. Zabirova
author_sort V. V. Napalkov
title The Dunkl convolution operators and multipoint de la Vallée–Poussin problem
title_short The Dunkl convolution operators and multipoint de la Vallée–Poussin problem
title_full The Dunkl convolution operators and multipoint de la Vallée–Poussin problem
title_fullStr The Dunkl convolution operators and multipoint de la Vallée–Poussin problem
title_full_unstemmed The Dunkl convolution operators and multipoint de la Vallée–Poussin problem
title_sort dunkl convolution operators and multipoint de la vallée–poussin problem
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2013-03-01
description 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.
url http://mi.mathnet.ru/eng/vsgtu1139
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AT krzabirova thedunklconvolutionoperatorsandmultipointdelavalleepoussinproblem
AT vvnapalkov dunklconvolutionoperatorsandmultipointdelavalleepoussinproblem
AT krzabirova dunklconvolutionoperatorsandmultipointdelavalleepoussinproblem
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