Geodesic
On the expansions of analytic functions on convex locally closed sets in exponential series
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 1, pp. 44-58 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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S. N. Melikhov; S. Momm. On the expansions of analytic functions on convex locally closed sets in exponential series. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 1, pp. 44-58. http://geodesic.mathdoc.fr/item/VMJ_2011_13_1_a5/

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