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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
English version PDF (643 kB) Citations (21)
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DOI: https://doi.org/10.1070/IM1977v011n02ABEH001722
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1977, Volume 41, Issue 2, Pages 378–392
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”, Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977), 378–392; Math. USSR-Izv., 11:2 (1977), 361–374
Citation in format AMSBIB
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\by V.~A.~Tkachenko
\paper Equations of convolution type in spaces of analytic functionals
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 2
\pages 378--392
\mathnet{http://mi.mathnet.ru/im1810}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=487445}
\zmath{https://zbmath.org/?q=an:0356.45006|0378.45004}
\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 2
\pages 361--374
\crossref{https://doi.org/10.1070/IM1977v011n02ABEH001722}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:431
    Russian version PDF:142
    English version PDF:21
    References:58
    First page:1
     
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