Gulnara S. Mauleshova, Andrey E. Mironov, “Discretization of Commuting Ordinary Differential Operators of Rank 2 in the Case of Elliptic Spectral Curves”, Trudy Mat. Inst. Steklova, 2020, Volume 310,Pages <nobr>217

This article is cited in 2 papers

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

Gulnara S. Mauleshova^ab, Andrey E. Mironov^ab

^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.

Keywords: commuting difference operators, commuting differential operators.

UDC: 517.929.2

Received: December 1, 2019
Revised: December 1, 2019
Accepted: May 21, 2020

DOI: 10.4213/tm4114