Trudy Moskovskogo Matematicheskogo Obshchestva
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Tr. Mosk. Mat. Obs.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Moskovskogo Matematicheskogo Obshchestva, 2013, Volume 74, Issue 2, Pages 317–338 (Mi mmo551)  
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
Full-text PDF (357 kB) Citations (1)
References:
PDF
HTML
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
English version:
Transactions of the Moscow Mathematical Society, 2013, Volume 74, Pages 261–279
DOI: https://doi.org/10.1090/s0077-1554-2014-00219-3
Bibliographic databases:
Document Type: Article
UDC: 519.929
MSC: 39A14, 39A70, 14H70
Language: Russian
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
Citation in format AMSBIB
\Bibitem{MirNak13}
\by A.~E.~Mironov, A.~Nakayashiki
\paper Discretization of Baker--Akhiezer modules and commuting difference operators in several discrete variables
\serial Tr. Mosk. Mat. Obs.
\yr 2013
\vol 74
\issue 2
\pages 317--338
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo551}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3235800}
\zmath{https://zbmath.org/?q=an:06371566}
\elib{https://elibrary.ru/item.asp?id=21369374}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2013
\vol 74
\pages 261--279
\crossref{https://doi.org/10.1090/s0077-1554-2014-00219-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84960086487}
Linking options:
  • https://www.mathnet.ru/eng/mmo551
  • https://www.mathnet.ru/eng/mmo/v74/i2/p317
    • This publication is cited in the following 1 articles:
    1. G. S. Mauleshova, “The dressing chain and one-point commuting difference operators of rank 1”, Siberian Math. J., 59:5 (2018), 901–908  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Moskovskogo Matematicheskogo Obshchestva
    Statistics & downloads:
    Abstract page:409
    Full-text PDF :134
    References:66
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025