论文标题

给定近订单的整个函数空间之间连续同态的差分运算符表示

A differential operator representation of continuous homomorphisms between the spaces of entire functions of given proximate orders

论文作者

Aoki, Takashi, Ishimura, Ryuichi, Okada, Yasunori

论文摘要

在本文中,我们考虑了整个功能的本地凸出空间,并通过近端订单给出的增长,并将其作为从这样的空间到另一个空间的连续同构的差分运算符。作为推论,我们给出了此类空间连续的内态性的特征。

In this paper, we consider the locally convex spaces of entire functions with growth given by proximate orders, and study the representation as a differential operator of a continuous homomorphism from such a space to another one. As a corollary, we give a characterization of continuous endomorphisms of such spaces.

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