This article is cited in 1 paper

Discretization of Baker–Akhiezer modules and commuting difference operators in several discrete variables

A. E. Mironov^ab, A. Nakayashiki<sup>c

a</sup> M. V. Lomonosov Moscow State University
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^c Tsuda College

Abstract: We introduce the notion of discrete Baker–Akhiezer (DBA) modules, which are modules over the ring of difference operators, as a discretization of Baker–Akhiezer modules, which are modules over the ring of differential operators. We use it to construct commuting difference operators with matrix coefficients in several discrete variables.

UDC: 519.929

MSC: 39A14, 39A70, 14H70

Received: 17.04.2013

 English version: Transactions of the Moscow Mathematical Society, 2013, 74, 261–279

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