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

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2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)62-64
Number of pages3
JournalDoklady Mathematics
Volume97
Issue number1
DOIs
Publication statusPublished - 1 Jan 2018

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