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Doklady Mathematics

, Volume 97, Issue 1, pp 62–64 | Cite as

One-Point Commuting Difference Operators of Rank One and Their Relation with Finite-Gap Schrödinger Operators

  • G. S. MauleshovaEmail author
  • A. E. Mironov
Mathematics

Abstract

One-point commuting difference operators of rank one in the case of hyperelliptic spectral curves are studied. A relationship between such operators and one-dimensional finite-gap Schrödinger operators is investigated. In particular, a discretization of finite-gap Lamé operators is obtained.

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Sobolev Institute of Mathematics, Siberian BranchRussian Academy of SciencesNovosibirskRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia

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