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Mathematics of the USSR-Sbornik, 1973, Volume 20, Issue 3, Pages 323–347
DOI: https://doi.org/10.1070/SM1973v020n03ABEH001878 (Mi sm3119) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Multiple completeness of root vectors of a Keldysh pencil perturbed by an operator-valued function analytic in a disc

G. V. Radzievskii
English version PDF (1251 kB) Citations (17) Russian version article
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DOI: https://doi.org/10.1070/SM1973v020n03ABEH001878
Abstract: In this paper a formulation of the problem of multiple completeness is considered that generalizes the earlier well-known formulation of this problem in differential equations, and also in mechanics. To within a finite-dimensional subspace, multiple completeness tests are given for a Keldysh pencil perturbed by an analytic operator-valued function. In several cases the domain of multiple completeness is found.
Bibliography: 26 titles.
Received: 30.03.1972
Bibliographic databases:
UDC: 517.43+513.772
MSC: Primary 47A10; Secondary 35P10
Language: English
Original paper language: Russian
Citation: G. V. Radzievskii, “Multiple completeness of root vectors of a Keldysh pencil perturbed by an operator-valued function analytic in a disc”, Math. USSR-Sb., 20:3 (1973), 323–347
Citation in format AMSBIB
\Bibitem{Rad73}
\by G.~V.~Radzievskii
\paper Multiple completeness of root vectors of a~Keldysh pencil perturbed by an operator-valued function analytic in a~disc
\jour Math. USSR-Sb.
\yr 1973
\vol 20
\issue 3
\pages 323--347
\mathnet{http://mi.mathnet.ru/eng/sm3119}
\crossref{https://doi.org/10.1070/SM1973v020n03ABEH001878}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=341148}
\zmath{https://zbmath.org/?q=an:0303.47019}
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  • https://www.mathnet.ru/eng/sm/v133/i3/p310
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:425
    Russian version PDF:179
    English version PDF:17
    References:77
     
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