# zbMATH — the first resource for mathematics

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
##### Keywords:
formal power series; Roumieu type; Beurling type
Full Text: