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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 4, Pages 865–888
DOI: https://doi.org/10.1070/IM1977v011n04ABEH001749 (Mi im1873) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a family of generalized shift operators

R. J. Grabovskaya, V. I. Kononenko, V. B. Osipov
English version PDF (790 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1977v011n04ABEH001749
Abstract: In this paper a special representation of the algebra of differential operators is constructed. Using this representation a family of generalized shift operators is studied for which the $n$th order infinitesimal operators form an arbitrary Lie algebra. Systems of differential equations with bounded operator coefficients, having $n$th order infinitesimal operators in the left sides, are also studied.
Bibliography: 4 titles.
Received: 26.11.1975
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1977, Volume 41, Issue 4, Pages 912–936
Bibliographic databases:
UDC: 519.4+51.7
MSC: Primary 46L20, 47E05, 47C05; Secondary 45J05
Language: English
Original paper language: Russian
Citation: R. J. Grabovskaya, V. I. Kononenko, V. B. Osipov, “On a family of generalized shift operators”, Izv. Akad. Nauk SSSR Ser. Mat., 41:4 (1977), 912–936; Math. USSR-Izv., 11:4 (1977), 865–888
Citation in format AMSBIB
\Bibitem{GraKonOsi77}
\by R.~J.~Grabovskaya, V.~I.~Kononenko, V.~B.~Osipov
\paper On a~family of generalized shift operators
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 4
\pages 912--936
\mathnet{http://mi.mathnet.ru/im1873}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=487570}
\zmath{https://zbmath.org/?q=an:0365.47021}
\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 4
\pages 865--888
\crossref{https://doi.org/10.1070/IM1977v011n04ABEH001749}
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  • https://doi.org/10.1070/IM1977v011n04ABEH001749
  • https://www.mathnet.ru/eng/im/v41/i4/p912
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:265
    Russian version PDF:105
    English version PDF:10
    References:37
    First page:1
     
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