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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}
Linking options:
  • https://www.mathnet.ru/eng/mzm11836
    • This publication is cited in the following 4 articles:
    1. Dmitry Gorbachev, Valerii Ivanov, Sergey Tikhonov, “Logan's problem for Jacobi transforms”, Can. J. Math.-J. Can. Math., 2023, 1  crossref
    2. D. V. Gorbachev, V. I. Ivanov, “Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem”, Sb. Math., 210:6 (2019), 809–835  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. D. V. Gorbachev, V. I. Ivanov, E. P. Ofitserov, O. I. Smirnov, “Vtoraya ekstremalnaya zadacha Logana dlya preobrazovaniya Fure po sobstvennym funktsiyam operatora Shturma–Liuvillya”, Chebyshevskii sb., 19:1 (2018), 57–78  mathnet  crossref  elib
    4. D. V. Gorbachev, V. I. Ivanov, E. P. Ofitserov, O. I. Smirnov, “Nekotorye ekstremalnye zadachi garmonicheskogo analiza i teorii priblizhenii”, Chebyshevskii sb., 18:4 (2017), 140–167  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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