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Vladikavkazskii Matematicheskii Zhurnal, 2011, Volume 13, Number 1, Pages 44–58 (Mi vmj375)  

This article is cited in 4 scientific papers (total in 4 papers)

On the expansions of analytic functions on convex locally closed sets in exponential series

S. N. Melikhovab, S. Mommc

a Southern Federal University, Department of Mathematics, Mechanics and Computer Science, RUSSIA, Rostov on Don
b Southern Mathematical Institute, Vladikavkaz Science Center of the RAS, Complex Analysis Laboratory, RUSSIA, Vladikavkaz
c Mathematisches Institut Heinrich-Heine Universität, Düsseldorf, GERMANY, Düsseldorf
Full-text PDF (234 kB) Citations (4)
References:
Abstract: Let $Q$ be a bounded, convex, locally closed subset of $\mathbb C^N$ with nonempty interior. For $N>1$ sufficient conditions are obtained that an operator of the representation of analytic functions on $Q$ by exponential series has a continuous linear right inverse. For $N=1$ the criterions for the existence of a continuous linear right inverse for the representation operator are proved.
Key words: locally closed set, analytic functions, exponential series, continuous linear right inverse.
Received: 01.02.2010
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: Primary 30B50; Secondary 32U35, 32A15, 47B37
Language: English
Citation: S. N. Melikhov, S. Momm, “On the expansions of analytic functions on convex locally closed sets in exponential series”, Vladikavkaz. Mat. Zh., 13:1 (2011), 44–58
Citation in format AMSBIB
\Bibitem{MelMom11}
\by S.~N.~Melikhov, S.~Momm
\paper On the expansions of analytic functions on convex locally closed sets in exponential series
\jour Vladikavkaz. Mat. Zh.
\yr 2011
\vol 13
\issue 1
\pages 44--58
\mathnet{http://mi.mathnet.ru/vmj375}
\elib{https://elibrary.ru/item.asp?id=15615456}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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