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 Tr. Mat. Inst. Steklova, 2020, Volume 310, Pages 217–229 (Mi tm4114)

Discretization of Commuting Ordinary Differential Operators of Rank 2 in the Case of Elliptic Spectral Curves

Gulnara S. Mauleshovaab, Andrey E. Mironovab

a Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090 Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia

Abstract: We study one-point commuting difference operators of rank $2$ and establish a relationship between these operators and commuting differential operators of rank $2$ in the case of elliptic spectral curves.

 Funding Agency Grant Number Russian Science Foundation 19-11-00044 This work is supported by the Russian Science Foundation under grant 19-11-00044.

DOI: https://doi.org/10.4213/tm4114

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English version:
Proceedings of the Steklov Institute of Mathematics, 2020, 310, 202–213

UDC: 517.929.2
Revised: December 1, 2019
Accepted: May 21, 2020

Citation: Gulnara S. Mauleshova, Andrey E. Mironov, “Discretization of Commuting Ordinary Differential Operators of Rank 2 in the Case of Elliptic Spectral Curves”, Selected issues of mathematics and mechanics, Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov, Tr. Mat. Inst. Steklova, 310, Steklov Math. Inst., Moscow, 2020, 217–229; Proc. Steklov Inst. Math., 310 (2020), 202–213

Citation in format AMSBIB
\Bibitem{MauMir20} \by Gulnara~S.~Mauleshova, Andrey~E.~Mironov \paper Discretization of Commuting Ordinary Differential Operators of Rank 2 in the Case of Elliptic Spectral Curves \inbook Selected issues of mathematics and mechanics \bookinfo Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov \serial Tr. Mat. Inst. Steklova \yr 2020 \vol 310 \pages 217--229 \publ Steklov Math. Inst. \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm4114} \crossref{https://doi.org/10.4213/tm4114} \transl \jour Proc. Steklov Inst. Math. \yr 2020 \vol 310 \pages 202--213 \crossref{https://doi.org/10.1134/S0081543820050168}