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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2003, Volume 10, Number 3, Pages 425–442 (Mi jmag259)  

This article is cited in 7 scientific papers (total in 7 papers)

Jacobi operator with step-like asymptotically periodic coefficients

J. Bazargana, I. Egorovab

a Department of Mathematical Physics, V. N. Karazin Kharkov National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine
b Mathematical Divizion, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
Full-text PDF (294 kB) Citations (7)
Abstract: The direct/inverse scattering problem is considered for the Jacobi operator with different asymptotically periodic coefficients on the half axes. It is supposed that the backgrounds on the half-axes have the period 2 and the perturbation has the second finite moment. The problem is studied by means of the generalized Marchenko approach ([8], [2]).
Received: 15.06.2003
Bibliographic databases:
Document Type: Article
MSC: 47B36, 47A40
Language: English
Citation: J. Bazargan, I. Egorova, “Jacobi operator with step-like asymptotically periodic coefficients”, Mat. Fiz. Anal. Geom., 10:3 (2003), 425–442
Citation in format AMSBIB
\Bibitem{BazEgo03}
\by J.~Bazargan, I.~Egorova
\paper Jacobi operator with step-like asymptotically periodic coefficients
\jour Mat. Fiz. Anal. Geom.
\yr 2003
\vol 10
\issue 3
\pages 425--442
\mathnet{http://mi.mathnet.ru/jmag259}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2012272}
\zmath{https://zbmath.org/?q=an:1059.47032}
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  • https://www.mathnet.ru/eng/jmag/v10/i3/p425
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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