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An Ablowitz-Ladik system with a discrete potential: I. Extended resolvent

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Abstract

An Ablowitz-Ladik linear system with the potential taking the values 0 or 1 is considered. The extended resolvent of this system is constructed, and the singularities of this operator are analyzed in detail.

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Authors and Affiliations

  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    A. K. Pogrebkov

  2. Scuola Normale Superiore di Pisa, INFN, Sezione di Pisa, Italia

    M. C. Prati

Authors
  1. A. K. Pogrebkov
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  2. M. C. Prati
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 119, No. 1, pp. 20–33, April, 1999.

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Pogrebkov, A.K., Prati, M.C. An Ablowitz-Ladik system with a discrete potential: I. Extended resolvent. Theor Math Phys 119, 407–419 (1999). https://doi.org/10.1007/BF02557339

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  • DOI: https://doi.org/10.1007/BF02557339

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