Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sbornik: Mathematics, 1999, Volume 190, Issue 4, Pages 481–499
DOI: https://doi.org/10.1070/sm1999v190n04ABEH000388 (Mi sm388) 		 
This article is cited in 7 scientific papers (total in 7 papers)

A property of subspaces admitting spectral synthesis

N. F. Abuzyarova

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
English version PDF (456 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.1070/sm1999v190n04ABEH000388
Abstract: Let $H$ be the space of holomorphic functions in a convex domain $G\subset\mathbb C$. The following result is established: each closed subspace $W\subset H$ that is invariant with respect to the operator of differentiation and admits spectral synthesis can be represented as the solution set of two (possibly coinciding) homogeneous convolution equations.
Received: 05.05.1998
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 4, Pages 3–22
DOI: https://doi.org/10.4213/sm388
Bibliographic databases:
UDC: 517.53
MSC: Primary 46E10, 45E10; Secondary 30D15
Language: English
Original paper language: Russian
Citation: N. F. Abuzyarova, “A property of subspaces admitting spectral synthesis”, Mat. Sb., 190:4 (1999), 3–22; Sb. Math., 190:4 (1999), 481–499
Citation in format AMSBIB
\Bibitem{Abu99}
\by N.~F.~Abuzyarova
\paper A~property of subspaces admitting spectral synthesis
\jour Mat. Sb.
\yr 1999
\vol 190
\issue 4
\pages 3--22
\mathnet{http://mi.mathnet.ru/sm388}
\crossref{https://doi.org/10.4213/sm388}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1702509}
\zmath{https://zbmath.org/?q=an:0935.46023}
\transl
\jour Sb. Math.
\yr 1999
\vol 190
\issue 4
\pages 481--499
\crossref{https://doi.org/10.1070/sm1999v190n04ABEH000388}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000082221600006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0033472408}
Linking options:
  • https://www.mathnet.ru/eng/sm388
  • https://doi.org/10.1070/sm1999v190n04ABEH000388
  • https://www.mathnet.ru/eng/sm/v190/i4/p3
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:452
    Russian version PDF:212
    English version PDF:17
    References:64
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024