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Izvestiya: Mathematics, 2004, Volume 68, Issue 2, Pages 291–353
DOI: https://doi.org/10.1070/IM2004v068n02ABEH000476 (Mi im476) 		 
This article is cited in 42 scientific papers (total in 42 papers)

A fundamental principle for invariant subspaces in convex domains

A. S. Krivosheev
English version PDF (619 kB) Citations (42)
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DOI: https://doi.org/10.1070/IM2004v068n02ABEH000476
Abstract: Under certain natural restrictions, we give a complete solution of the interpolation problem in spaces of entire functions of exponential type whose conjugate diagram is contained in a given convex domain. We also give a complete solution of the problem of finding a fundamental principle for arbitrary non-trivial closed subspaces of functions analytic in a convex domain that are invariant under differentiation and admit spectral synthesis.
Received: 31.10.2002
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2004, Volume 68, Issue 2, Pages 71–136
DOI: https://doi.org/10.4213/im476
Bibliographic databases:
UDC: 517.5
MSC: 30E05, 30D15, 30D20
Language: English
Original paper language: Russian
Citation: A. S. Krivosheev, “A fundamental principle for invariant subspaces in convex domains”, Izv. RAN. Ser. Mat., 68:2 (2004), 71–136; Izv. Math., 68:2 (2004), 291–353
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v68/i2/p71
    • This publication is cited in the following 42 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:745
    Russian version PDF:338
    English version PDF:27
    References:78
    First page:2
     
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