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Izvestiya: Mathematics, 2004, Volume 68, Issue 1, Pages 43–76
DOI: https://doi.org/10.1070/IM2004v068n01ABEH000466 (Mi im466) 		 
This article is cited in 13 scientific papers (total in 13 papers)

A criterion for analytic continuation of functions from invariant subspaces in convex domains of the complex plane

A. S. Krivosheev
English version PDF (326 kB) Citations (13)
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DOI: https://doi.org/10.1070/IM2004v068n01ABEH000466
Abstract: We study subspaces invariant under differentiation in spaces of analytic functions in convex domains of the complex plane. For arbitrary convex domains we get a criterion for analytic continuation of functions from arbitrary non-trivial closed invariant subspaces admitting spectral synthesis.
Received: 03.09.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2004, Volume 68, Issue 1, Pages 43–78
DOI: https://doi.org/10.4213/im466
Bibliographic databases:
UDC: 517.5
MSC: 46E10, 30B40, 30D15, 44A10
Language: English
Original paper language: Russian
Citation: A. S. Krivosheev, “A criterion for analytic continuation of functions from invariant subspaces in convex domains of the complex plane”, Izv. RAN. Ser. Mat., 68:1 (2004), 43–78; Izv. Math., 68:1 (2004), 43–76
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2004v068n01ABEH000466
  • https://www.mathnet.ru/eng/im/v68/i1/p43
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:561
    Russian version PDF:277
    English version PDF:26
    References:73
    First page:2
     
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