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.
\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}
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https://doi.org/10.1070/SM1984v049n02ABEH002713
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