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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 3, Pages 3–6 (Mi vmj466)  
Weighted Fréchet spaces of entire functions from the class of power series spaces of finite type

A. V. Abaninab, P. S. Serguninb, Pham Trong Tienb

a South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
b Southern Federal University, Rostov-on-Don, Russia
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Abstract: We study weighted Fréchet spaces of entire functions given by weighted sequences of a general kind. We obtain some sufficient conditions under which they have Vogt–Wagner topological invariants and thus belong to the class of power series spaces of finite type.
Key words: weighted spaces of entire functions, topological invariznts.
Received: 23.04.2013
Document Type: Article
UDC: 517.547+517.982
Language: Russian
Citation: A. V. Abanin, P. S. Sergunin, Pham Trong Tien, “Weighted Fréchet spaces of entire functions from the class of power series spaces of finite type”, Vladikavkaz. Mat. Zh., 15:3 (2013), 3–6
Citation in format AMSBIB
\Bibitem{AbaSerTie13}
\by A.~V.~Abanin, P.~S.~Sergunin, Pham~Trong~Tien
\paper Weighted Fr\'echet spaces of entire functions from the class of power series spaces of finite type
\jour Vladikavkaz. Mat. Zh.
\yr 2013
\vol 15
\issue 3
\pages 3--6
\mathnet{http://mi.mathnet.ru/vmj466}
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