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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 1(30), Pages 70–81
DOI: https://doi.org/10.14498/vsgtu1139 (Mi vsgtu1139) 		 
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
Full-text PDF (205 kB) Citations (5)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1139
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
Bibliographic databases:
Document Type: Article
UDC: 517.53+517.98
MSC: Primary 47B38; Secondary 46A20, 46E10, 43A22, 30H05
Language: Russian
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
Citation in format AMSBIB
\Bibitem{ZabNap13}
\by K.~R.~Zabirova, V.~V.~Napalkov
\paper The Dunkl convolution operators and multipoint de la Vall\'ee--Poussin problem
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 70--81
\mathnet{http://mi.mathnet.ru/vsgtu1139}
\crossref{https://doi.org/10.14498/vsgtu1139}
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  • https://www.mathnet.ru/eng/vsgtu/v130/p70
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :306
    References:95
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