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Problemy Analiza — Issues of Analysis, 2019, Volume 8(26), Issue 3, Pages 96–104
DOI: https://doi.org/10.15393/j3.art.2019.6690 (Mi pa275) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Geometric meaning of the interpolation conditions in the class of functions of finite order in the half-plane

K. G. Malyutin, A. L. Gusev

Kursk State University, 33 Radischeva str., Kursk 305000, Russia
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DOI: https://doi.org/10.15393/j3.art.2019.6690
Abstract: The aim of this paper is to study the interpolation problem in the spaces of analytical functions of finite order $\rho>1$ in the half-plane. The necessary and sufficient conditions for its solvability are found in terms of the measure defined by the nodes of interpolation.
Keywords: half-plane, function of finite order, free interpolation, Nevanlinna measure, interpolation sequence.
Received: 11.07.2019
Revised: 03.11.2019
Accepted: 03.11.2019
Bibliographic databases:
Document Type: Article
UDC: 517.537
MSC: 30E05
Language: English
Citation: K. G. Malyutin, A. L. Gusev, “Geometric meaning of the interpolation conditions in the class of functions of finite order in the half-plane”, Probl. Anal. Issues Anal., 8(26):3 (2019), 96–104
Citation in format AMSBIB
\Bibitem{MalGus19}
\by K.~G.~Malyutin, A.~L.~Gusev
\paper Geometric meaning of the interpolation conditions in the class of functions of finite order in the half-plane
\jour Probl. Anal. Issues Anal.
\yr 2019
\vol 8(26)
\issue 3
\pages 96--104
\mathnet{http://mi.mathnet.ru/pa275}
\crossref{https://doi.org/10.15393/j3.art.2019.6690}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000497499600009}
\elib{https://elibrary.ru/item.asp?id=41470783}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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