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Problemy Analiza — Issues of Analysis, 2018, Volume 7(25), special issue, Pages 12–30
DOI: https://doi.org/10.15393/j3.art.2018.5451
(Mi pa231)
 

This article is cited in 3 scientific papers (total in 3 papers)

On entire functions with given asymptotic behavior

K. P. Isaevab

a Bashkir State University (BashSU), 32, Zaki Validi str., Ufa, Russia, 450076
b Institute of Mathematics, Ufa Federal Research Centre, Russian Academy of Sciences (Institute of Mathematics UFRC RAS), 112, Chernyshevsky str., Ufa, Russia, 450008
Full-text PDF (705 kB) Citations (3)
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Abstract: We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool. In questions of decomposition of functions into a series of exponentials, the subharmonic function, as a rule, satisfies the Lipschitz condition. We prove the theorem on approximation of such subharmonic functions. Also we prove the theorem on joint approximation of two subharmonic functions.
Keywords: subharmonic function, approximation, entire function, Riesz measure.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00095_a
This work was supported by RFBR (project 18-01-00095 A).
Received: 15.05.2018
Revised: 16.09.2018
Accepted: 17.09.2018
Bibliographic databases:
Document Type: Article
UDC: 517.574
MSC: 31A05, 30E10
Language: English
Citation: K. P. Isaev, “On entire functions with given asymptotic behavior”, Probl. Anal. Issues Anal., 7(25), special issue (2018), 12–30
Citation in format AMSBIB
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\by K.~P.~Isaev
\paper On entire functions with given asymptotic behavior
\jour Probl. Anal. Issues Anal.
\yr 2018
\vol 7(25)
\pages 12--30
\issueinfo special issue
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\crossref{https://doi.org/10.15393/j3.art.2018.5451}
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\elib{https://elibrary.ru/item.asp?id=35688762}
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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
    Problemy Analiza — Issues of Analysis
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