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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 115–123 (Mi timm1235)  
This article is cited in 4 scientific papers (total in 4 papers)

Bohman extremal problem for the Dunkl transform

D. V. Gorbachev, V. I. Ivanov

Tula State University
Full-text PDF (165 kB) Citations (4)
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Abstract: We give a solution of the Bohman extremal problem for nonnegative functions with the support of the Dunkl transform in a Euclidean ball or parallelepiped. The proof uses the invariance of the problem under orthogonal transforms and quadrature formulas with zeros of Bessel functions.
Keywords: root system, reflection group, Dunkl weight, Dunkl transform, Bohman extremal problem, Bessel quadrature formula.
Received: 10.01.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 297, Issue 1, Pages 88–96
DOI: https://doi.org/10.1134/S0081543817050108
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: D. V. Gorbachev, V. I. Ivanov, “Bohman extremal problem for the Dunkl transform”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 115–123; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 88–96
Citation in format AMSBIB
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\by D.~V.~Gorbachev, V.~I.~Ivanov
\paper Bohman extremal problem for the Dunkl transform
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 4
\pages 115--123
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468436}
\elib{https://elibrary.ru/item.asp?id=25300991}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 297
\issue , suppl. 1
\pages 88--96
\crossref{https://doi.org/10.1134/S0081543817050108}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000410252500010}
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  • https://www.mathnet.ru/eng/timm/v21/i4/p115
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Full-text PDF :77
    References:57
    First page:24
     
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