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Sbornik: Mathematics, 1997, Volume 188, Issue 6, Pages 853–892
DOI: https://doi.org/10.1070/sm1997v188n06ABEH000228 (Mi sm228) 		 
This article is cited in 4 scientific papers (total in 5 papers)

The fundamental principle for invariant subspaces of analytic functions. II

I. F. Krasichkov-Ternovskii

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
English version PDF (389 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/sm1997v188n06ABEH000228
Abstract: A differentiation-invariant closed subspace W of a topological product of analytic function spaces is considered. Associated with each element f∈W there is a formal series with terms that are the images of f under a certain system of special projection operators in W.Conditions for the existence, methods of construction, and properties of these projection operators are investigated.
Received: 24.09.1996
Bibliographic databases:
UDC: 517.53
MSC: 46E10, 30B99
Language: English
Original paper language: Russian
Citation: I. F. Krasichkov-Ternovskii, “The fundamental principle for invariant subspaces of analytic functions. II”, Sb. Math., 188:6 (1997), 853–892
Citation in format AMSBIB
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\by I.~F.~Krasichkov-Ternovskii
\paper The fundamental principle for invariant subspaces of analytic functions.~II
\jour Sb. Math.
\yr 1997
\vol 188
\issue 6
\pages 853--892
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Linking options:
  • https://www.mathnet.ru/eng/sm228
  • https://doi.org/10.1070/sm1997v188n06ABEH000228
  • https://www.mathnet.ru/eng/sm/v188/i6/p57
    Cycle of papers
    This publication is cited in the following 5 articles:
    1. S. G. Merzlyakov, “Systems of convolution equations in complex domains”, Ufa Math. J., 10:2 (2018), 78–92  mathnet  crossref  isi
    2. “Igor Fedorovich Krasichkov-Ternovskii (13.02.1935–08.03.2012)”, Ufimsk. matem. zhurn., 4:3 (2012), 187–192  mathnet
    3. I. F. Krasichkov-Ternovskii, “Approximation theorem for a homogeneous vector convolution equation”, Sb. Math., 195:9 (2004), 1271–1289  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. A. B. Shishkin, “Spectral synthesis for systems of differential operators with constant coefficients”, Sb. Math., 194:12 (2003), 1865–1898  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. I. F. Krasichkov-Ternovskii, “The fundamental principle for invariant subspaces of analytic functions. III”, Sb. Math., 188:10 (1997), 1439–1479  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:406
    Russian version PDF:196
    English version PDF:21
    References:75
    First page:2
     
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