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Sbornik: Mathematics, 2001, Volume 192, Issue 11, Pages 1621–1638
DOI: https://doi.org/10.1070/SM2001v192n11ABEH000608
(Mi sm608)
 

This article is cited in 2 scientific papers (total in 3 papers)

Local description of closed submodules of a special module of entire functions of exponential type

I. F. Krasichkov-Ternovskiia, A. B. Shishkinb

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b Armavir State Pedagogical Institute
References:
Abstract: Let π1(z),,πq(z)π1(z),,πq(z) be a system of polynomials of the complex variable zz. In connection with the problem of spectral synthesis for systems of differential operators π1(D),,πq(D)π1(D),,πq(D), D=d/dzD=d/dz, the problem of the local description of closed submodules is considered for a special module of entire functions over the ring C[π1,,πq]. It is shown that this problem can be reduced to the local description over the ring C[l], where l is the Luroth polynomial associated with the system π1(z),,πq(z).
Received: 16.03.2001
Bibliographic databases:
UDC: 517.5
MSC: 46E10, 30D99
Language: English
Original paper language: Russian
Citation: I. F. Krasichkov-Ternovskii, A. B. Shishkin, “Local description of closed submodules of a special module of entire functions of exponential type”, Sb. Math., 192:11 (2001), 1621–1638
Citation in format AMSBIB
\Bibitem{KraShi01}
\by I.~F.~Krasichkov-Ternovskii, A.~B.~Shishkin
\paper Local description of closed submodules of a~special module of entire functions of exponential type
\jour Sb. Math.
\yr 2001
\vol 192
\issue 11
\pages 1621--1638
\mathnet{http://mi.mathnet.ru/eng/sm608}
\crossref{https://doi.org/10.1070/SM2001v192n11ABEH000608}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1886369}
\zmath{https://zbmath.org/?q=an:1038.30024}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000174857300002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035528649}
Linking options:
  • https://www.mathnet.ru/eng/sm608
  • https://doi.org/10.1070/SM2001v192n11ABEH000608
  • https://www.mathnet.ru/eng/sm/v192/i11/p35
  • This publication is cited in the following 3 articles:
    1. A. B. Shishkin, “Symmetric representations of holomorphic functions”, Probl. anal. Issues Anal., 7(25), spetsvypusk (2018), 124–136  mathnet  crossref  elib
    2. “Igor Fedorovich Krasichkov-Ternovskii (13.02.1935–08.03.2012)”, Ufimsk. matem. zhurn., 4:3 (2012), 187–192  mathnet
    3. 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
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    English version PDF:16
    References:81
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