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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 Cn

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 Cn”, 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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\jour Algebra i Analiz
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  • https://www.mathnet.ru/eng/aa1199
  • https://www.mathnet.ru/eng/aa/v22/i4/p137
    • This publication is cited in the following 4 articles:
    1. A. S. Krivosheev, O. A. Krivosheeva, “Invariant Spaces of Entire Functions”, Math. Notes, 109:3 (2021), 413–426  mathnet  crossref  crossref  mathscinet  isi
    2. S. G. Merzlyakov, S. V. Popenov, “Interpolation by series of exponential functions whose exponents are condensed in a certain direction”, J. Math. Sci. (N. Y.), 257:3 (2021), 334–352  mathnet  crossref  mathscinet
    3. O. A. Krivosheeva, “Basis in invariant subspace of analytical functions”, Ufa Math. J., 10:2 (2018), 58–77  mathnet  crossref  isi
    4. O. A. Krivosheyeva, A. S. Krivosheyev, “A representation of functions from an invariant subspace with almost real spectrum”, St. Petersburg Math. J., 29:4 (2018), 603–641  mathnet  crossref  mathscinet  isi  elib
    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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