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.

中文翻译：

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给定近阶整函数的空间之间的连续同态的微分算子表示

在本文中，我们考虑了整个函数的局部凸空间，其中凸空间的增长由附近的阶数决定，并研究了从该空间到另一空间的连续同态的微分算子的表示形式。作为推论，我们给出了此类空间的连续内同态的特征。