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Matematicheskie Zametki, 2017, Volume 102, Issue 4, paper published in the English version journal (Mi mzm11836)  
This article is cited in 4 scientific papers (total in 4 papers)

Papers published in the English version of the journal

Some Extremal Problems for the Fourier Transform on the Hyperboloid

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

Tula State University, Tula, Russia
Citations (4)
Abstract: We give the solution of the Turán, Fejér, Delsarte, Logan, and Bohman extremal problems for the Fourier transform on the hyperboloid $\mathbb{H}^{d}$ or Lobachevsky space. We apply the averaging function method over the sphere and the solution of these problems for the Jacobi transform on the half-line.
Keywords: hyperboloid, Lobachevsky space, Fourier transform, Turán extremal problem, Fejér extremal problem, Delsarte extremal problem, Logan extremal problem, Bohman extremal problem.
Received: 21.07.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 4, Pages 480–491
DOI: https://doi.org/10.1134/S0001434617090206
Bibliographic databases:
Document Type: Article
Language: English
Citation: D. V. Gorbachev, V. I. Ivanov, O. I. Smirnov, “Some Extremal Problems for the Fourier Transform on the Hyperboloid”, Math. Notes, 102:4 (2017), 480–491
Citation in format AMSBIB
\Bibitem{GorIvaSmi17}
\by D.~V.~Gorbachev, V.~I.~Ivanov, O.~I.~Smirnov
\paper Some Extremal Problems for the Fourier Transform
on the Hyperboloid
\jour Math. Notes
\yr 2017
\vol 102
\issue 4
\pages 480--491
\mathnet{http://mi.mathnet.ru/mzm11836}
\crossref{https://doi.org/10.1134/S0001434617090206}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000413455100020}
\elib{https://elibrary.ru/item.asp?id=31091495}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85032030021}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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