Some extremal problems for the Fourier transform on the hyperboloid
- Autores: Gorbachev D.V.1, Ivanov V.I.1, Smirnov O.I.1
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Afiliações:
- Tula State University
- Edição: Volume 102, Nº 3-4 (2017)
- Páginas: 480-491
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150148
- DOI: https://doi.org/10.1134/S0001434617090206
- ID: 150148
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Resumo
We give the solution of the Turán, Fejér, Delsarte, Logan, and Bohman extremal problems for the Fourier transform on the hyperboloid ℍd 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.
Sobre autores
D. Gorbachev
Tula State University
Autor responsável pela correspondência
Email: dvgmail@mail.ru
Rússia, Tula
V. Ivanov
Tula State University
Email: dvgmail@mail.ru
Rússia, Tula
O. Smirnov
Tula State University
Email: dvgmail@mail.ru
Rússia, Tula
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