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Matematicheskie Zametki, 2017, Volume 102, Issue 4, paper published in the English version journal
(Mi mzm11836)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm11836
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Abstract page: | 260 |
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