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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 447, Pages 129–170 (Mi znsl6299)  
This article is cited in 7 scientific papers (total in 7 papers)

Exponential synthesis in the kernel of a symmetric convolution

A. B. Shishkin

Kuban State University, branch in Slavyansk-on-Kuban, Krasnodar, Russia
Full-text PDF (360 kB) Citations (7)
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Abstract: The paper describes a certain class of homogeneous equations of convolution type in spaces of analytic functions on convex domains. Sufficient conditions are formulated under which every solution of an equation from this class is approximated by its elementary solutions.
Key words and phrases: the operator symmetrization, the operator of symmetric convolution, the spectral synthesis, the exponential synthesis.
Received: 11.08.2016
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 229, Issue 5, Pages 572–599
DOI: https://doi.org/10.1007/s10958-018-3700-9
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. B. Shishkin, “Exponential synthesis in the kernel of a symmetric convolution”, Investigations on linear operators and function theory. Part 44, Zap. Nauchn. Sem. POMI, 447, POMI, St. Petersburg, 2016, 129–170; J. Math. Sci. (N. Y.), 229:5 (2018), 572–599
Citation in format AMSBIB
\Bibitem{Shi16}
\by A.~B.~Shishkin
\paper Exponential synthesis in the kernel of a~symmetric convolution
\inbook Investigations on linear operators and function theory. Part~44
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 447
\pages 129--170
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6299}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3580167}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 229
\issue 5
\pages 572--599
\crossref{https://doi.org/10.1007/s10958-018-3700-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85041518869}
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  • https://www.mathnet.ru/eng/znsl/v447/p129
    • 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
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