1302.4523 (Andrey Mironov et al.)

Discretization of Baker-Akhiezer Modules and Commuting Difference
Operators in Several Discrete Variables    [PDF]

Andrey Mironov, Atsushi Nakayashiki

We introduce the notion of discrete Baker-Akhiezer (DBA) modules, which are modules over the ring of difference operators, as a certain 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.

View original: http://arxiv.org/abs/1302.4523