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Matematicheskie Zametki, 1992, Volume 52, Issue 3, Pages 35–43 (Mi mzm4698)  
This article is cited in 1 scientific paper (total in 1 paper)

Solvability of convolution equation in the Gevrey class of functions analytic in a nonconvex region

O. V. Gorina

Rostov State University
Full-text PDF (1746 kB) Citations (1)
Abstract: In the Gevrey space $A(q)$ of functions analytic in a nonconvex bounded region in $\mathbf{C}^-$, we consider $a$ convolution operator $L$ generated by some entire functiona. A necessary and sufficient condition under which the equality $L(A(q))=A(q)$ holds is established.
Received: 16.05.1990
English version:
Mathematical Notes, 1992, Volume 52, Issue 3, Pages 895–902
DOI: https://doi.org/10.1007/BF01209608
Bibliographic databases:
UDC: 517
Language: Russian
Citation: O. V. Gorina, “Solvability of convolution equation in the Gevrey class of functions analytic in a nonconvex region”, Mat. Zametki, 52:3 (1992), 35–43; Math. Notes, 52:3 (1992), 895–902
Citation in format AMSBIB
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\by O.~V.~Gorina
\paper Solvability of convolution equation in the Gevrey class of functions analytic in a nonconvex region
\jour Mat. Zametki
\yr 1992
\vol 52
\issue 3
\pages 35--43
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\zmath{https://zbmath.org/?q=an:0792.34004}
\transl
\jour Math. Notes
\yr 1992
\vol 52
\issue 3
\pages 895--902
\crossref{https://doi.org/10.1007/BF01209608}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992LF91500004}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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