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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 2, Pages 361–374
DOI: https://doi.org/10.1070/IM1977v011n02ABEH001722
(Mi im1810)
 

This article is cited in 21 scientific papers (total in 21 papers)

Equations of convolution type in spaces of analytic functionals

V. A. Tkachenko
References:
Abstract: In this work necessary and sufficient conditions are obtained for solvability of the equation $\Phi^*f=g$, where $\Phi^*$ is the adjoint of the operator of multiplication by an entire function of normal type with a finite order of growth. As an application some conditions are found for solvability of a nonhomogeneous equation of generalized convolution type.
Bibliography: 16 titles.
Received: 29.01.1975
Bibliographic databases:
UDC: 517.9
MSC: Primary 45E10, 46F15; Secondary 30A64, 44A15
Language: English
Original paper language: Russian
Citation: V. A. Tkachenko, “Equations of convolution type in spaces of analytic functionals”, Math. USSR-Izv., 11:2 (1977), 361–374
Citation in format AMSBIB
\Bibitem{Tka77}
\by V.~A.~Tkachenko
\paper Equations of convolution type in spaces of analytic functionals
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 2
\pages 361--374
\mathnet{http://mi.mathnet.ru//eng/im1810}
\crossref{https://doi.org/10.1070/IM1977v011n02ABEH001722}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=487445}
\zmath{https://zbmath.org/?q=an:0356.45006|0378.45004}
Linking options:
  • https://www.mathnet.ru/eng/im1810
  • https://doi.org/10.1070/IM1977v011n02ABEH001722
  • https://www.mathnet.ru/eng/im/v41/i2/p378
  • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:439
    Russian version PDF:144
    English version PDF:22
    References:59
    First page:1
     
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