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Mathematics of the USSR-Sbornik, 1981, Volume 40, Issue 3, Pages 387–427
DOI: https://doi.org/10.1070/SM1981v040n03ABEH001833
(Mi sm2733)
 

This article is cited in 9 scientific papers (total in 9 papers)

Spectral theory in spaces of analytic functionals for operators generated by multiplication by the independent variable

V. A. Tkachenko
References:
Abstract: This paper is devoted to the spectral theory for the adjoint of the operator of multiplication by the independent variable in weight spaces of entire functions of one complex variable, and is closely connected with the theory of constant coefficient ordinary differential equations of infinite order $\displaystyle\sum^\infty_{k=0}c_k\frac{d^kf(z)}{dz^k_k}=0$ and of convolution type equations $\langle\varphi,f(z+\zeta)\rangle<0$, with the theory of mean-periodic functions, and with the general theory of subspaces which are invariant under differentiation.
Bibliography: 62 titles.
Received: 05.06.1978 and 10.11.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 112(154), Number 3(7), Pages 421–466
Bibliographic databases:
UDC: 517.53
MSC: Primary 46E10; Secondary 34A35, 45E10
Language: English
Original paper language: Russian
Citation: V. A. Tkachenko, “Spectral theory in spaces of analytic functionals for operators generated by multiplication by the independent variable”, Mat. Sb. (N.S.), 112(154):3(7) (1980), 421–466; Math. USSR-Sb., 40:3 (1981), 387–427
Citation in format AMSBIB
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\by V.~A.~Tkachenko
\paper Spectral theory in spaces of analytic functionals for operators generated by multiplication by the independent variable
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 112(154)
\issue 3(7)
\pages 421--466
\mathnet{http://mi.mathnet.ru/sm2733}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=582192}
\zmath{https://zbmath.org/?q=an:0469.47026|0448.47013}
\transl
\jour Math. USSR-Sb.
\yr 1981
\vol 40
\issue 3
\pages 387--427
\crossref{https://doi.org/10.1070/SM1981v040n03ABEH001833}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MT96400006}
Linking options:
  • https://www.mathnet.ru/eng/sm2733
  • https://doi.org/10.1070/SM1981v040n03ABEH001833
  • https://www.mathnet.ru/eng/sm/v154/i3/p421
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:531
    Russian version PDF:171
    English version PDF:35
    References:65
    First page:1
     
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