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March 2020 The spaces of formal power series of class M of Roumieu type and of Beurling type
Xiaoran Jin
Hiroshima Math. J. 50(1): 117-135 (March 2020). DOI: 10.32917/hmj/1583805652

Abstract

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.

Dedication

Dedicate to Professor R. Ishimura

Citation

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Xiaoran Jin. "The spaces of formal power series of class M of Roumieu type and of Beurling type." Hiroshima Math. J. 50 (1) 117 - 135, March 2020. https://doi.org/10.32917/hmj/1583805652

Information

Received: 7 March 2019; Revised: 8 August 2019; Published: March 2020
First available in Project Euclid: 10 March 2020

zbMATH: 07197873
MathSciNet: MR4074382
Digital Object Identifier: 10.32917/hmj/1583805652

Subjects:
Primary: 32A05
Secondary: 30D15, 32A15

Rights: Copyright © 2020 Hiroshima University, Mathematics Program

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Vol.50 • No. 1 • March 2020
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