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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 2, Pages 276–281
DOI: https://doi.org/10.17377/smzh.2016.57.204 (Mi smj2743) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Multielement equations for analytic functions in the plane with cuts

F. N. Garif'yanov

Kazan State Power Engineering University, Kazan, Russia
Full-text PDF (369 kB) Citations (5)
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DOI: https://doi.org/10.17377/smzh.2016.57.204
Abstract: We consider linear equations for analytic functions in the complex plane with cuts along a half of the boundary of a quadrangle. We propose a regularization method that reduces the equations to an equation with summary-difference kernels. Some applications are given to the moment problem for entire functions of exponential type.
Keywords: equivalent regularization, Carleman problem, moment problem for entire functions of exponential type.
Received: 11.03.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 213–217
DOI: https://doi.org/10.1134/S003744661602004X
Bibliographic databases:
Document Type: Article
UDC: 517.18
Language: Russian
Citation: F. N. Garif'yanov, “Multielement equations for analytic functions in the plane with cuts”, Sibirsk. Mat. Zh., 57:2 (2016), 276–281; Siberian Math. J., 57:2 (2016), 213–217
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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