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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 1, Pages 83–87
DOI: https://doi.org/10.17377/smzh.2017.58.108 (Mi smj2841) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On a system of entire functions of class A which is biorthogonal to a lacunar power system on the ray

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 (236 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2017.58.108
Abstract: We construct a system of entire functions of exponential type of class A biorthogonal with weight to some power system on the ray. The indicator diagram of such a function is a segment of the imaginary axis. Functions analytic in a circular lacuna are represented by biorthogonal series.
Keywords: entire function of class A, regularization method, moment problem.
Received: 13.10.2015
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 1, Pages 63–66
DOI: https://doi.org/10.1134/S0037446617010086
Bibliographic databases:
Document Type: Article
UDC: 517
MSC: 35R30
Language: Russian
Citation: F. N. Garif'yanov, E. V. Strezhneva, “On a system of entire functions of class A which is biorthogonal to a lacunar power system on the ray”, Sibirsk. Mat. Zh., 58:1 (2017), 83–87; Siberian Math. J., 58:1 (2017), 63–66
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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