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Izvestiya: Mathematics, 1998, Volume 62, Issue 2, Pages 287–312
DOI: https://doi.org/10.1070/im1998v062n02ABEH000174
(Mi im174)
 

This article is cited in 10 scientific papers (total in 10 papers)

Analytic continuation of functions from invariant subspaces in convex domains of the complex space

A. S. Krivosheev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
References:
Abstract: We give conditions for the analytic continuation of functions from invariant subspaces in convex domains of a multi-dimensional complex space. In the case of one variable we establish a criterion for the analytic continuation for smooth convex domains.
Received: 07.04.1995
Bibliographic databases:
MSC: 32A15, 46E10
Language: English
Original paper language: Russian
Citation: A. S. Krivosheev, “Analytic continuation of functions from invariant subspaces in convex domains of the complex space”, Izv. Math., 62:2 (1998), 287–312
Citation in format AMSBIB
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\by A.~S.~Krivosheev
\paper Analytic continuation of functions from invariant subspaces in convex domains of the complex space
\jour Izv. Math.
\yr 1998
\vol 62
\issue 2
\pages 287--312
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Linking options:
  • https://www.mathnet.ru/eng/im174
  • https://doi.org/10.1070/im1998v062n02ABEH000174
  • https://www.mathnet.ru/eng/im/v62/i2/p75
  • This publication is cited in the following 10 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. 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
    3. A. S. Krivosheev, “Criterion of analytic continuability of functions in principal invariant subspaces on convex domains in Cn”, St. Petersburg Math. J., 22:4 (2011), 615–655  mathnet  crossref  mathscinet  zmath  isi
    4. A. S. Krivosheev, “Invariantnye podprostranstva v vypuklykh oblastyakh iz Cn”, Ufimsk. matem. zhurn., 1:2 (2009), 53–74  mathnet  zmath  elib
    5. A. S. Krivosheev, “Invariantnye podprostranstva v vypuklykh oblastyakh iz Cn”, Ufimsk. matem. zhurn., 1:3 (2009), 65–86  mathnet  zmath  elib
    6. Krivosheev A.S., “Continuation of functions from principal invariant subspaces”, Doklady Mathematics, 74:2 (2006), 728–730  crossref  mathscinet  zmath  isi  elib  scopus
    7. A. S. Krivosheev, “A fundamental principle for invariant subspaces in convex domains”, Izv. Math., 68:2 (2004), 291–353  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. A. S. Krivosheev, “A criterion for analytic continuation of functions from invariant subspaces in convex domains of the complex plane”, Izv. Math., 68:1 (2004), 43–76  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. I. F. Krasichkov-Ternovskii, “Spectral synthesis and analytic continuation”, Russian Math. Surveys, 58:1 (2003), 31–108  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. Krivosheev A.S., “Analytic continuation of functions from invariant subspaces”, Doklady Mathematics, 66:2 (2002), 217–219  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:581
    Russian version PDF:222
    English version PDF:29
    References:100
    First page:2
     
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