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Matematicheskie Zametki, 2016, Volume 100, Issue 5, paper published in the English version journal (Mi mzm11472)  
This article is cited in 5 scientific papers (total in 5 papers)

Papers published in the English version of the journal

The Delsarte Extremal Problem for the Jacobi Transform

D. V. Gorbachev, V. I. Ivanov, O. I. Smirnov

Tula State University, Tula, Russia
Citations (5)
Abstract: We give the solution of the Delsarte extremal problem for even entire functions of exponential type that are Jacobi transforms and prove the uniqueness of the extremal function. The quadrature Markov formula on the half-line with zeros of the modified Jacobi function are used.
Keywords: Delsarte extremal problem, Jacobi transform, hyperbolic weight, Jacobi function, quadrature Markov formula.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00308
Ministry of Education and Science of the Russian Federation 1.1333.2014K
5414GZ
Received: 09.08.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 5, Pages 677–686
DOI: https://doi.org/10.1134/S0001434616110043
Bibliographic databases:
Document Type: Article
Language: English
Citation: D. V. Gorbachev, V. I. Ivanov, O. I. Smirnov, “The Delsarte Extremal Problem for the Jacobi Transform”, Math. Notes, 100:5 (2016), 677–686
Citation in format AMSBIB
\Bibitem{GorIvaSmi16}
\by D.~V.~Gorbachev, V.~I.~Ivanov, O.~I.~Smirnov
\paper The Delsarte Extremal Problem for the Jacobi Transform
\jour Math. Notes
\yr 2016
\vol 100
\issue 5
\pages 677--686
\mathnet{http://mi.mathnet.ru/mzm11472}
\crossref{https://doi.org/10.1134/S0001434616110043}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391490500004}
\elib{https://elibrary.ru/item.asp?id=29466689}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85007071258}
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    • 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
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