Email this article Bohman extremal problem for the Dunkl transform
- Authors: Gorbachev D.V.1, Ivanov V.I.1
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Affiliations:
- Tula State University
- Issue: Vol 297, No Suppl 1 (2017)
- Pages: 88-96
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174758
- DOI: https://doi.org/10.1134/S0081543817050108
- ID: 174758
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Abstract
We give a solution of the Bohman extremal problem for nonnegative functions with the support of the Dunkl transform in a Euclidean ball or a parallelepiped. The proof uses the invariance of the problem under orthogonal transforms and quadrature formulas with zeros of Bessel functions as nodes.
About the authors
D. V. Gorbachev
Tula State University
Author for correspondence.
Email: dvgmail@mail.ru
Russian Federation, pr. Lenina 92, Tula, 300600
V. I. Ivanov
Tula State University
Email: dvgmail@mail.ru
Russian Federation, pr. Lenina 92, Tula, 300600
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