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arXiv · 2003.11226

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

Takashi Aoki·Ryuichi Ishimura·Yasunori Okada
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Abstract

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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Takashi Aoki, Ryuichi Ishimura, Yasunori Okada. 2020-03-25. A differential operator representation of continuous homomorphisms between the spaces of entire functions of given proximate orders. https://arxiv.org/abs/2003.11226

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