Weighted Frechet spaces of entire functions from the class of power series spaces of finite type

Abanin, A. V. , Sergunin P. S. , Tien, P. T.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 3.

Abstract:
We study weighted Frechet 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.

Keywords: weighted spaces of entire functions, topological invariznts

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