Geodesic
The scattering problem for a discrete Sturm–Liouville operator
Sbornik. Mathematics, Tome 49 (1984) no. 2, pp. 325-355 
A. I. Aptekarev; E. M. Nikishin. The scattering problem for a discrete Sturm–Liouville operator. Sbornik. Mathematics, Tome 49 (1984) no. 2, pp. 325-355. http://geodesic.mathdoc.fr/item/SM_1984_49_2_a3/
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     author = {A. I. Aptekarev and E. M. Nikishin},
     title = {The scattering problem for a~discrete {Sturm{\textendash}Liouville} operator},
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     pages = {325--355},
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     volume = {49},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_49_2_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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