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Ufimskii Matematicheskii Zhurnal, 2009, Volume 1, Issue 3, Pages 65–86 (Mi ufa19)  
This article is cited in 1 scientific paper (total in 1 paper)

The invariant subspaces in convex domains in $\mathbb C^n$

A. S. Krivosheyev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
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Abstract: We study invariant under differentiation subspaces of spaces of analytic functions in arbitrary convex domains of $\mathbb C^n$. A criterion of analytic continuation of functions belonging to arbitrary closed principal invariant subspaces, admitting spectral synthesis, is obtained.
Keywords: invariant subspaces, analytic continuation, entire function, convolution operator.
Received: 14.07.2009
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. S. Krivosheyev, “The invariant subspaces in convex domains in $\mathbb C^n$”, Ufimsk. Mat. Zh., 1:3 (2009), 65–86
Citation in format AMSBIB
\Bibitem{Kri09}
\by A.~S.~Krivosheyev
\paper The invariant subspaces in convex domains in~$\mathbb C^n$
\jour Ufimsk. Mat. Zh.
\yr 2009
\vol 1
\issue 3
\pages 65--86
\mathnet{http://mi.mathnet.ru/eng/ufa19}
\zmath{https://zbmath.org/?q=an:1240.32018}
\elib{https://elibrary.ru/item.asp?id=13077002}
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