Abstract
The paper deals with various problems associated with operators of the formLy=C n−1 y n−1 +U n y n+C n y n+1, defined in one-sided or two-sided l2. On the basis of the theory of orthogonal polynomials the author studies spectral properties of such operators, the scattering problem and other related topics.
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Translated from Trudy Seminara imeni I. G. Petrovskogo, Vol. 10, pp. 3–77, 1984.
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Nikishin, E.M. Discrete Sturm-Liouville operators and some problems of function theory. J Math Sci 35, 2679–2744 (1986). https://doi.org/10.1007/BF01119188
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DOI: https://doi.org/10.1007/BF01119188