Email this article The Dunkl convolution operators and multipoint de la Vallee–Poussin problem
- Authors: Zabirova K.R.1, Napalkov V.V.2
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Affiliations:
- Ufa State Aviation Technical University
- Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
- Issue: Vol 17, No 1 (2013)
- Pages: 70-81
- Section: Articles
- URL: https://journals.rcsi.science/1991-8615/article/view/34695
- DOI: https://doi.org/10.14498/vsgtu1139
- ID: 34695
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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 Vallee–Poussin problem for Dunkl convolution operators in the space of entire functions.
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##article.viewOnOriginalSite##About the authors
Karina Raisovna Zabirova
Ufa State Aviation Technical University
Email: karinazabirova@gmail.com
Valentin Vasil'evich Napalkov
Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Email: shaig@anrb.ru, napalkov@matem.anrb.ru, vnap@matem.anrb.ru
Doctor of physico-mathematical sciences, Professor
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