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The spaces of formal power series of class \(\mathbb{M}\) of Roumieu type and of Beurling type. (English) Zbl 1439.32006
Summary: In this article, we introduce the space of formal power series of class \(\mathbb{M}\) of Roumieu (resp., Beurling) type, which is the generalization of the space of entire functions of normal (resp., minimal) type with respect to a proximate order. And we characterize continuous endomorphisms of these spaces.

MSC:
32A05 Power series, series of functions of several complex variables
32A15 Entire functions of several complex variables
30D15 Special classes of entire functions of one complex variable and growth estimates
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