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

G. S. Mauleshova; A. E. Mironov

doi:10.1134/S1064562418010209

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

G. S. Mauleshova, A. E. Mironov

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	62-64
Number of pages	3
Journal	Doklady Mathematics
Volume	97
Issue number	1
DOIs	https://doi.org/10.1134/S1064562418010209
Publication status	Published - 1 Jan 2018

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title = "One-Point Commuting Difference Operators of Rank One and Their Relation with Finite-Gap Schr{\"o}dinger Operators",

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 Schr{\"o}dinger operators is investigated. In particular, a discretization of finite-gap Lam{\'e} operators is obtained.",

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AB - 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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