Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

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) Russian version article
References:
PDF
HTML
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
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”, 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 Math. USSR-Sb.
\yr 1984
\vol 49
\issue 2
\pages 325--355
\mathnet{http://mi.mathnet.ru//eng/sm2205}
\crossref{https://doi.org/10.1070/SM1984v049n02ABEH002713}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=708000}
\zmath{https://zbmath.org/?q=an:0557.34017|0527.34024}
Linking options:
  • https://www.mathnet.ru/eng/sm2205
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024