Geodesic
A remark on absolutely convergent series in spaces of germs of analytic functions
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 3, pp. 53-55 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that each absolutely convergent series in the space of germs of all analytic functions on a some set $M\subset\mathbb C^N$ endowed with the projective topology converges absolutely in the Fréchet space of analytic functions on an open neighborhood of $M$. In particular, this allows us to remove the assumptions about the growth of exponents of exponential series, posed in some previous statements. 
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     title = {A remark on absolutely convergent series in spaces of germs of analytic functions},
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S. N. Melikhov. A remark on absolutely convergent series in spaces of germs of analytic functions. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 3, pp. 53-55. http://geodesic.mathdoc.fr/item/VMJ_2015_17_3_a5/

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