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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2016, Issue 2, Pages 9–14
(Mi uzeru152)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
On a Hilbert problem in the half-plane in the class of continuous functions
S. A. Aghekyan Chair of Mathematical Analysis and Theory of Functions YSU, Armenia
Abstract:
We study the Hilbert boundary value problem in the half-plane, when the boundary function is continuous on the real axis. It was proved that this problem is Noetherian and the solutions of the corresponding homogeneous problem are determined in explicit form.
Keywords:
Hilbert boundary value problem, Loran's series, orthogonality conditions, bounded domains, homogeneous problem.
Received: 13.04.2016 Accepted: 25.05.2016
Citation:
S. A. Aghekyan, “On a Hilbert problem in the half-plane in the class of continuous functions”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 2, 9–14
Linking options:
https://www.mathnet.ru/eng/uzeru152 https://www.mathnet.ru/eng/uzeru/y2016/i2/p9
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Abstract page: | 80 | Full-text PDF : | 39 | References: | 28 |
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