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Trudy Moskovskogo Matematicheskogo Obshchestva, 2013, Volume 74, Issue 2, Pages 317–338
(Mi mmo551)
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This article is cited in 1 scientific paper (total in 1 paper)
Discretization of Baker–Akhiezer modules and commuting difference operators in several discrete variables
A. E. Mironovab, A. Nakayashikic a 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.
Received: 17.04.2013
Citation:
A. E. Mironov, A. Nakayashiki, “Discretization of Baker–Akhiezer modules and commuting difference operators in several discrete variables”, Tr. Mosk. Mat. Obs., 74, no. 2, MCCME, M., 2013, 317–338; Trans. Moscow Math. Soc., 74 (2013), 261–279
Linking options:
https://www.mathnet.ru/eng/mmo551 https://www.mathnet.ru/eng/mmo/v74/i2/p317
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