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Mathematics of the USSR-Izvestiya, 1984, Volume 22, Issue 3, Pages 419–463
DOI: https://doi.org/10.1070/IM1984v022n03ABEH001452 (Mi im1411) 		 
This article is cited in 61 scientific papers (total in 61 papers)

Analytic theory of a class of interpolation problems

I. V. Kovalishina
English version PDF (1509 kB) Citations (61)
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DOI: https://doi.org/10.1070/IM1984v022n03ABEH001452
Abstract: This paper studies a method of solving the matrix Nevanlinna–Pick, Carathéodory, and Hamburger problems by using the theory of analytic $J$-expanding matrix-valued functions ($J$-theory). The solution of each problem is represented as a linear fractional transformation whose coefficient matrix is an entity of $J$-theory.
Bibliography: 11 titles.
Received: 04.04.1979
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1983, Volume 47, Issue 3, Pages 455–497
Bibliographic databases:
UDC: 517.547
MSC: 30E05
Language: English
Original paper language: Russian
Citation: I. V. Kovalishina, “Analytic theory of a class of interpolation problems”, Math. USSR-Izv., 22:3 (1984), 419–463
Citation in format AMSBIB
\Bibitem{Kov83}
\by I.~V.~Kovalishina
\paper Analytic theory of a~class of interpolation problems
\jour Math. USSR-Izv.
\yr 1984
\vol 22
\issue 3
\pages 419--463
\mathnet{http://mi.mathnet.ru//eng/im1411}
\crossref{https://doi.org/10.1070/IM1984v022n03ABEH001452}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=703593}
\zmath{https://zbmath.org/?q=an:0549.30026}
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    • This publication is cited in the following 61 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:686
    Russian version PDF:223
    English version PDF:20
    References:73
    First page:1
     
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