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Algebra i Analiz, 2010, Volume 22, Issue 4, Pages 137–197 (Mi aa1199)  
This article is cited in 4 scientific papers (total in 4 papers)

Research Papers

Criterion of analytic continuability of functions in principal invariant subspaces on convex domains in $\mathbb C^n$

A. S. Krivosheev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
Full-text PDF (539 kB) Citations (4)
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Abstract: Subspaces invariant under differentiation are studied for spaces of functions analytic on domains of a many-dimensional complex space. For a wide class of domains (in particular, for arbitrary bounded convex domains), a criterion of analytic continuability is obtained for functions in arbitrary nontrivial closed principal invariant subspaces admitting spectral synthesis.
Keywords: analytic continuation, invariant subspace, plurisubharmonic function, convex domain.
Received: 01.04.2010
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 4, Pages 615–655
DOI: https://doi.org/10.1090/S1061-0022-2011-01160-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Krivosheev, “Criterion of analytic continuability of functions in principal invariant subspaces on convex domains in $\mathbb C^n$”, Algebra i Analiz, 22:4 (2010), 137–197; St. Petersburg Math. J., 22:4 (2011), 615–655
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:76
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