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


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详细

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.

作者简介

G. Mauleshova

Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University

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Email: mauleshova_gs@mail.ru
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090

A. Mironov

Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University

Email: mauleshova_gs@mail.ru
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090


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