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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 5, Pages 1048–1053
DOI: https://doi.org/10.17377/smzh.2016.57.510 (Mi smj2805) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Commuting Krichever–Novikov differential operators with polynomial coefficients

A. B. Zheglova, A. E. Mironovb, B. T. Saparbayevab

a Moscow State University, Moscow, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (256 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2016.57.510
Abstract: Under study are some commuting rank 2 differential operators with polynomial coefficients. We prove that, for every spectral curve of the form $w^2=z^3+c_2z^2+c_1z+c_0$ with arbitrary coefficients $c_i$, there exist commuting nonselfadjoint operators of orders 4 and 6 with polynomial coefficients of arbitrary degree.
Keywords: commuting differential operators.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00178-а
14-11-00441
The first author was supported by the Russian Foundation for Basic Research (Grant 14-01-00178-a); the second and third authors were supported by the Russian Foundation for Basic Research (Grant 14-11-00441).
Received: 20.01.2016
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 5, Pages 819–823
DOI: https://doi.org/10.1134/S0037446616050104
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: A. B. Zheglov, A. E. Mironov, B. T. Saparbayeva, “Commuting Krichever–Novikov differential operators with polynomial coefficients”, Sibirsk. Mat. Zh., 57:5 (2016), 1048–1053; Siberian Math. J., 57:5 (2016), 819–823
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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