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Discretization of Baker-Akhiezer modules and commuting difference operators in several discrete variables. (English. Russian original) Zbl 1351.12001
Trans. Mosc. Math. Soc. 2013, 261-279 (2013); translation from Tr. Mosk. Mat. O.-va 74, No. 2, 317-338 (2013).
Summary: 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.

##### MSC:
 12H10 Difference algebra 39A70 Difference operators 47B39 Linear difference operators
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##### References:
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