Characterization of continuous endomorphisms of the space of entire functions of a given order

Takashi Aokia Department of Mathematics, Kindai University, Higashi–Osaka, JapanView further author information

Ryuichi Ishimurab Department of Mathematics and Informatics Faculty of Science, Chiba University, Chiba, JapanView further author information

Yasunori Okadac Institute of Management and Information Technologies, Chiba University, Chiba, JapanView further author information

Daniele C. Struppad Donald Bren Distinguished Chair in Mathematics, Chapman University, Orange, CA, USACorrespondence[email protected]
View further author information

Shofu Uchidae Graduate School of Science and Engineering, Kindai University, Higashi–OsakaJapanView further author information

Abstract

In this paper we show that continuous endomorphisms on the space of entire functions with a given order can be expressed as differential operators of infinite order satisfying suitable growth conditions.

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No potential conflict of interest was reported by the author(s).

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Funding

This work was supported by JSPS KAKENHI [grant numbers 26400126, 16K05170 and 18K03385].

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Characterization of continuous endomorphisms of the space of entire functions of a given order

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Characterization of continuous endomorphisms of the space of entire functions of a given order

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