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Mathematics of the USSR-Sbornik, 1984, Volume 49, Issue 2, Pages 325–355
DOI: https://doi.org/10.1070/SM1984v049n02ABEH002713 (Mi sm2205) 		 
This article is cited in 102 scientific papers (total in 104 papers)

The scattering problem for a discrete Sturm–Liouville operator

A. I. Aptekarev, E. M. Nikishin
English version PDF (1252 kB) Citations (104)
References:
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DOI: https://doi.org/10.1070/SM1984v049n02ABEH002713
Abstract: In this paper properties of the discrete Sturm–Liouville operator are considered, and the scattering problem for this operator is studied using asymptotic formulas for orthogonal polynomials with matrix coefficients.
Bibliography: 22 titles.
Received: 29.04.1982
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1983, Volume 121(163), Number 3(7), Pages 327–358
Bibliographic databases:
UDC: 517.9+517.53
MSC: Primary 39A12, 34B25; Secondary 30D55, 30E25, 34A55, 42C05, 78A45, 81F15
Language: English
Original paper language: Russian
Citation: A. I. Aptekarev, E. M. Nikishin, “The scattering problem for a discrete Sturm–Liouville operator”, Mat. Sb. (N.S.), 121(163):3(7) (1983), 327–358; Math. USSR-Sb., 49:2 (1984), 325–355
Citation in format AMSBIB
\Bibitem{AptNik83}
\by A.~I.~Aptekarev, E.~M.~Nikishin
\paper The scattering problem for a~discrete Sturm--Liouville operator
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 121(163)
\issue 3(7)
\pages 327--358
\mathnet{http://mi.mathnet.ru/sm2205}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=708000}
\zmath{https://zbmath.org/?q=an:0557.34017|0527.34024}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 49
\issue 2
\pages 325--355
\crossref{https://doi.org/10.1070/SM1984v049n02ABEH002713}
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  • https://doi.org/10.1070/SM1984v049n02ABEH002713
  • https://www.mathnet.ru/eng/sm/v163/i3/p327
    • This publication is cited in the following 104 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:1293
    Russian version PDF:484
    English version PDF:40
    References:55
    First page:2
     
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