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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 1, Pages 78–85
DOI: https://doi.org/10.17377/smzh.2018.59.107 (Mi smj2955) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Interpolation problems for entire functions induced by regular hexagons

F. N. Garif'yanova, E. V. Strezhnevab

a Kazan State Power Engineering University, Kazan, Russia
b Kazan National Research Technical University named after A. N. Tupolev, Kazan, Russia
Full-text PDF (244 kB) Citations (9)
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DOI: https://doi.org/10.17377/smzh.2018.59.107
Abstract: We consider linear equations for analytic functions in the plane with cuts along a “half” of the boundary of a hexagon. We propose a regularization method, reducing them to an equation with difference kernel. 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: 15.03.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 1, Pages 59–64
DOI: https://doi.org/10.1134/S003744661801007X
Bibliographic databases:
Document Type: Article
UDC: 517.18
MSC: 35R30
Language: Russian
Citation: F. N. Garif'yanov, E. V. Strezhneva, “Interpolation problems for entire functions induced by regular hexagons”, Sibirsk. Mat. Zh., 59:1 (2018), 78–85; Siberian Math. J., 59:1 (2018), 59–64
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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