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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 1, Pages 67–75
DOI: https://doi.org/10.4213/faa3224 (Mi faa3224) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Commuting Differential Operators of Rank 2 with Polynomial Coefficients

V. S. Oganesyan

Lomonosov Moscow State University
Full-text PDF (150 kB) Citations (13)
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DOI: https://doi.org/10.4213/faa3224
Abstract: Self-adjoint commuting differential operators with polynomial coefficients are considered. These operators form a commutative subalgebra of the first Weyl algebra. New examples of commuting differential operators of rank $2$ are found.
Keywords: differential operator, first Weyl algebra, Krichever–Novikov equation, Dixmier hypothesis, nonlinear equation, operator of nontrivial rank.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-4833.2014.1
Received: 20.02.2015
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 1, Pages 54–61
DOI: https://doi.org/10.1007/s10688-016-0128-1
Bibliographic databases:
Document Type: Article
UDC: 517.926+512.77
Language: Russian
Citation: V. S. Oganesyan, “Commuting Differential Operators of Rank 2 with Polynomial Coefficients”, Funktsional. Anal. i Prilozhen., 50:1 (2016), 67–75; Funct. Anal. Appl., 50:1 (2016), 54–61
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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