This article is cited in 105 papers

The scattering problem for a discrete Sturm–Liouville operator

A. I. Aptekarev, E. M. Nikishin


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.

UDC: 517.9+517.53

MSC: Primary 39A12, 34B25; Secondary 30D55, 30E25, 34A55, 42C05, 78A45, 81F15

Received: 29.04.1982

 English version: Mathematics of the USSR-Sbornik, 1984, 49:2, 325–355

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