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Matematicheskie Zametki, 1974, Volume 15, Issue 5, Pages 787–796 (Mi mzm7408)  
This article is cited in 7 scientific papers (total in 7 papers)

Solvability of a convolution equation in convex domains

O. V. Epifanov

Rostov State University
Full-text PDF (808 kB) Citations (7)
Abstract: For an exponential function $a(z)$ we consider the convolution $a*x$ in the function space $H(G)$, consisting of functions analytic in convex domains $G$. We obtain conditions (close to necessary and sufficient) on $G$ and $G_1$ subject to which the equation $a*(H(G_1))=H(G)$ is satisfied.
Received: 01.06.1973
English version:
Mathematical Notes, 1974, Volume 15, Issue 5, Pages 472–477
DOI: https://doi.org/10.1007/BF01152787
Bibliographic databases:
UDC: 517.43
Language: Russian
Citation: O. V. Epifanov, “Solvability of a convolution equation in convex domains”, Mat. Zametki, 15:5 (1974), 787–796; Math. Notes, 15:5 (1974), 472–477
Citation in format AMSBIB
\Bibitem{Epi74}
\by O.~V.~Epifanov
\paper Solvability of a~convolution equation in convex domains
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 5
\pages 787--796
\mathnet{http://mi.mathnet.ru/mzm7408}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=367704}
\zmath{https://zbmath.org/?q=an:0322.46056|0314.46050}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 5
\pages 472--477
\crossref{https://doi.org/10.1007/BF01152787}
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    • 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
    		Математические заметки Mathematical Notes
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