Problemy Analiza — Issues of Analysis
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Probl. Anal. Issues Anal.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Problemy Analiza — Issues of Analysis, 2018, Volume 7(25), special issue, Pages 113–123
DOI: https://doi.org/10.15393/j3.art.2018.5170 (Mi pa236) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The interpolation problem in the spaces of analytical functions of finite order in the half-plane

K. G. Malyutin, A. L. Gusev

Kursk State University, 33 Radischeva str., Kursk 305000, Russia
Full-text PDF (636 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.15393/j3.art.2018.5170
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 in terms of the canonical Nevanlinna product of nodes of interpolation are obtained. The solution of the interpolation problem is constructed in the form of the Jones interpolation series, which is a generalization of the Lagrange interpolation series.
Keywords: half-plane, function of finite order, free interpolation, Nevanlinna product, interpolation series.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00236_a
The reported study was funded by RFBR according to the research project 18-01-00236.
Received: 19.04.2018
Revised: 23.07.2018
Accepted: 05.08.2018
Bibliographic databases:
Document Type: Article
UDC: 517.537
MSC: 30E05
Language: English
Citation: K. G. Malyutin, A. L. Gusev, “The interpolation problem in the spaces of analytical functions of finite order in the half-plane”, Probl. Anal. Issues Anal., 7(25), special issue (2018), 113–123
Citation in format AMSBIB
\Bibitem{MalGus18}
\by K.~G.~Malyutin, A.~L.~Gusev
\paper The interpolation problem in the spaces of analytical functions of finite order in the half-plane
\jour Probl. Anal. Issues Anal.
\yr 2018
\vol 7(25)
\pages 113--123
\issueinfo special issue
\mathnet{http://mi.mathnet.ru/pa236}
\crossref{https://doi.org/10.15393/j3.art.2018.5170}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000445966700010}
\elib{https://elibrary.ru/item.asp?id=35688767}
Linking options:
  • https://www.mathnet.ru/eng/pa236
  • https://www.mathnet.ru/eng/pa/v25/i3/p113
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Problemy Analiza — Issues of Analysis
    Statistics & downloads:
    Abstract page:224
    Full-text PDF :46
    References:39
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024