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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 4, Pages 933–947
DOI: https://doi.org/10.1070/IM1973v007n04ABEH001981
(Mi im2326)
 

This article is cited in 17 scientific papers (total in 18 papers)

Invariant subspaces of analytic functions. Analytic continuation

I. F. Krasichkov-Ternovskii
References:
Abstract: Let $G$ be a region in the complex plane; let $H$ be the space of functions analytic in $G$ with the topology of uniform convergence on compacta of $G$; let $W$ be a nontrivial invariant (with respect to differentiation) subspace in $H$ which admits a spectral synthesis. We investigate conditions for which all functions of $W$ can be analytically continued to a larger region $G'\supset G$.
Received: 04.01.1973
Bibliographic databases:
UDC: 517.5
MSC: Primary 30A18, 30A98, 30A14, 46E15; Secondary 30A08, 30A64
Language: English
Original paper language: Russian
Citation: I. F. Krasichkov-Ternovskii, “Invariant subspaces of analytic functions. Analytic continuation”, Math. USSR-Izv., 7:4 (1973), 933–947
Citation in format AMSBIB
\Bibitem{Kra73}
\by I.~F.~Krasichkov-Ternovskii
\paper Invariant subspaces of analytic functions. Analytic continuation
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 4
\pages 933--947
\mathnet{http://mi.mathnet.ru//eng/im2326}
\crossref{https://doi.org/10.1070/IM1973v007n04ABEH001981}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=367233}
\zmath{https://zbmath.org/?q=an:0343.46019}
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  • https://doi.org/10.1070/IM1973v007n04ABEH001981
  • https://www.mathnet.ru/eng/im/v37/i4/p931
  • This publication is cited in the following 18 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
     
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