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Mathematics of the USSR-Sbornik, 1981, Volume 39, Issue 3, Pages 343–357
DOI: https://doi.org/10.1070/SM1981v039n03ABEH001519
(Mi sm2599)
 

This article is cited in 10 scientific papers (total in 11 papers)

Spectral synthesis on systems of unbounded convex domains

I. F. Krasichkov-Ternovskii
References:
Abstract: The problem of approximating solutions of systems of homogeneous convolution equations and the more general problem of spectral synthesis are considered in the situation where the original convex domains G1,,GqG1,,Gq are unbounded. Conditions for admissibility of spectral synthesis are formulated in terms of the domains G1,,GqG1,,Gq.
Bibliography: 8 titles.
Received: 07.05.1979
Bibliographic databases:
UDC: 517.53
MSC: 46J15
Language: English
Original paper language: Russian
Citation: I. F. Krasichkov-Ternovskii, “Spectral synthesis on systems of unbounded convex domains”, Math. USSR-Sb., 39:3 (1981), 343–357
Citation in format AMSBIB
\Bibitem{Kra80}
\by I.~F.~Krasichkov-Ternovskii
\paper Spectral synthesis on systems of unbounded convex domains
\jour Math. USSR-Sb.
\yr 1981
\vol 39
\issue 3
\pages 343--357
\mathnet{http://mi.mathnet.ru/eng/sm2599}
\crossref{https://doi.org/10.1070/SM1981v039n03ABEH001519}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=568984}
\zmath{https://zbmath.org/?q=an:0461.43010|0438.43006}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MK40700003}
Linking options:
  • https://www.mathnet.ru/eng/sm2599
  • https://doi.org/10.1070/SM1981v039n03ABEH001519
  • https://www.mathnet.ru/eng/sm/v153/i3/p384
  • This publication is cited in the following 11 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, “Spectral synthesis and analytic continuation”, Russian Math. Surveys, 58:1 (2003), 31–108  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. I. F. Krasichkov-Ternovskii, “Spectral synthesis and local description for several variables”, Izv. Math., 63:4 (1999), 729–755  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. I. F. Krasichkov-Ternovskii, “The fundamental principle for invariant subspaces of analytic functions. I”, Sb. Math., 188:2 (1997), 195–226  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. 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
    7. S. G. Merzlyakov, “Spectral synthesis for the differentiation operator on systems of curvilinear strips”, Sb. Math., 186:5 (1995), 711–728  mathnet  crossref  mathscinet  zmath  isi
    8. I. F. Krasichkov-Ternovskii, “Spectral synthesis in a complex domain for a differential operator with constant coefficients. III: Ample submodules”, Russian Acad. Sci. Sb. Math., 76:1 (1993), 165–188  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    9. I. F. Krasichkov-Ternovskii, “Spectral synthesis in a complex domain for a differential operator with constant coefficients. IV: Synthesis”, Russian Acad. Sci. Sb. Math., 76:2 (1993), 407–426  mathnet  crossref  mathscinet  zmath  isi
    10. I. F. Krasichkov-Ternovskii, “Spectral synthesis in a complex domain for a differential operator with constant coefficients. I: A duality theorem”, Math. USSR-Sb., 74:2 (1993), 309–335  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    11. I. F. Krasichkov-Ternovskii, “Abstract methods for a local description of closed submodules of analytic functions”, Math. USSR-Sb., 71:2 (1992), 481–497  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    References:70
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