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C0-operator orthogonal Chebyshev polynomials and their representations

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Certain estimates for the resolvent of a block-discrete Schrödinger operator with a constant diagonal perturbation are obtained. For that purpose, the resolvent is represented in terms of Chebychev polynomials of the (in general, unbounded) operator that represents a block of the perturbation. Bibliography: 12 titles.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    V. A. Kostin & M. N. Nebolsina

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  1. V. A. Kostin
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  2. M. N. Nebolsina
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Correspondence to V. A. Kostin.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 376, 2010, pp. 64–87.

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Kostin, V.A., Nebolsina, M.N. C0-operator orthogonal Chebyshev polynomials and their representations. J Math Sci 172, 215–228 (2011). https://doi.org/10.1007/s10958-010-0194-5

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  • DOI: https://doi.org/10.1007/s10958-010-0194-5

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