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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 142, Pages 111–120 (Mi into258)  
This article is cited in 11 scientific papers (total in 11 papers)

On invariant subspaces of the Pommiez operator in spaces of entire functions of exponential type

O. A. Ivanovaa, S. N. Melikhovab

a Southern Federal University
b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
Full-text PDF (206 kB) Citations (11)
Abstract: We describe closed invariant eigenspaces of the Pommmiez operator in the (LF)-space of entire functions of exponential type. This space is topologically equivalent (by means of the Laplace transform) to the strong dual space of all germs of functions that are analytic on a convex, locally closed subset of the complex plane.
Keywords: invariant subspace, Pommiez operator, entire function of exponential type.
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 6, Pages 760–769
DOI: https://doi.org/10.1007/s10958-019-04461-0
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 47A16, 47B38, 46E10
Language: Russian
Citation: O. A. Ivanova, S. N. Melikhov, “On invariant subspaces of the Pommiez operator in spaces of entire functions of exponential type”, Complex analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 142, VINITI, M., 2017, 111–120; Journal of Mathematical Sciences, 241:6 (2019), 760–769
Citation in format AMSBIB
\Bibitem{IvaMel17}
\by O.~A.~Ivanova, S.~N.~Melikhov
\paper On invariant subspaces of the Pommiez operator in spaces of entire functions of exponential type
\inbook Complex analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 142
\pages 111--120
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into258}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801354}
\zmath{https://zbmath.org/?q=an:07123860}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 6
\pages 760--769
\crossref{https://doi.org/10.1007/s10958-019-04461-0}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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