Geodesic
Discretization of Baker--Akhiezer modules and commuting difference operators in several discrete variables
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 74 (2013) no. 2, pp. 317-338.

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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. 
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A. E. Mironov; A. Nakayashiki. Discretization of Baker--Akhiezer modules and commuting difference operators in several discrete variables. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 74 (2013) no. 2, pp. 317-338. http://geodesic.mathdoc.fr/item/MMO_2013_74_2_a6/

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