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

The Dunkl convolution operators and multipoint de la Vallee–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 Vallee–Poussi...

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Bibliographic Details
Main Authors: Karina Raisovna Zabirova, Valentin Vasil'evich Napalkov
Format: Article
Language:English
Published: Samara State Technical University 2013-12-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
dunkl operators
dunkl convolution
de la vallee–poussin (cauchy) problem
sufficient sets
space of entire functions
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/34695/23046
Description
Summary: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 Vallee–Poussin problem for Dunkl convolution operators in the space of entire functions.
ISSN:1991-8615
2310-7081

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