A. S. Krivosheyev, “The invariant subspaces in convex domains in $\mathbb C^n$”, Ufa Math. J., 1:3 (2009)

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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

Full-text PDF (505 kB) Citations (1)

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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

$\mathbb C^n$ ”, Ufa Math. J., 1:3 (2009)

Citation in format AMSBIB

\Bibitem{Kri09}

\by A.~S.~Krivosheyev

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

\jour Ufa Math. J.

\yr 2009

\vol 1

\issue 3

\mathnet{http://mi.mathnet.ru/eng/ufa19}

\zmath{https://zbmath.org/?q=an:1240.32018}

\elib{https://elibrary.ru/item.asp?id=13077002}

Linking options:

https://www.mathnet.ru/eng/ufa19

https://www.mathnet.ru/eng/ufa/v1/i3/p65

Cycle of papers

The invariant subspaces in convex domains in $\mathbb C^n$
A. S. Krivosheyev
Ufimsk. Mat. Zh., 2009, 1:2, 53–74
The invariant subspaces in convex domains in $\mathbb C^n$
A. S. Krivosheyev
Ufimsk. Mat. Zh., 2009, 1:3, 65–86

This publication is cited in the following 1 articles:

O. A. Krivosheeva, “Basis in invariant subspace of analytical functions”, Ufa Math. J., 10:2 (2018), 58–77

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	295
Full-text PDF :	115
References:	61
First page:	2

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