Some extremal problems for the Fourier transform on the hyperboloid

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

doi:10.1134/S0001434617090206

Some extremal problems for the Fourier transform on the hyperboloid

Authors: Gorbachev D.V.¹, Ivanov V.I.¹, Smirnov O.I.¹
Affiliations:
1. Tula State University
Issue: Vol 102, No 3-4 (2017)
Pages: 480-491
Section: Article
URL: https://journal-vniispk.ru/0001-4346/article/view/150148
DOI: https://doi.org/10.1134/S0001434617090206
ID: 150148

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Abstract

We give the solution of the Turán, Fejér, Delsarte, Logan, and Bohman extremal problems for the Fourier transform on the hyperboloid 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.