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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2016, Issue 2, Pages 9–14 (Mi uzeru152)  

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
Full-text PDF (157 kB) Citations (2)
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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
Document Type: Article
MSC: 34M50
Language: English
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
Citation in format AMSBIB
\Bibitem{Agh16}
\by S.~A.~Aghekyan
\paper On a Hilbert problem in the half-plane in the class of continuous functions
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2016
\issue 2
\pages 9--14
\mathnet{http://mi.mathnet.ru/uzeru152}
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  • https://www.mathnet.ru/eng/uzeru/y2016/i2/p9
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
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    Full-text PDF :39
    References:28
     
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