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arXiv 2003.11226math.FA
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A differential operator representation of continuous homomorphisms between the spaces of entire functions of given proximate orders

Takashi Aoki, Ryuichi Ishimura, Yasunori Okada

英文摘要:

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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