Email this article One-Point Commuting Difference Operators of Rank One and Their Relation with Finite-Gap Schrödinger Operators
- Authors: Mauleshova G.S.1,2, Mironov A.E.1,2
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Affiliations:
- Sobolev Institute of Mathematics, Siberian Branch
- Novosibirsk State University
- Issue: Vol 97, No 1 (2018)
- Pages: 62-64
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225458
- DOI: https://doi.org/10.1134/S1064562418010209
- ID: 225458
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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.
About the authors
G. S. Mauleshova
Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University
Author for correspondence.
Email: mauleshova_gs@mail.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
A. E. Mironov
Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University
Email: mauleshova_gs@mail.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
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