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Characterization of continuous endomorphisms of the space of entire functions of a given order
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-05-27 , DOI: 10.1080/17476933.2020.1767086 Takashi Aoki 1 , Ryuichi Ishimura 2 , Yasunori Okada 3 , Daniele C. Struppa 4 , Shofu Uchida 5
中文翻译:
给定阶整函数空间的连续自同态的刻画
更新日期:2020-05-27
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-05-27 , DOI: 10.1080/17476933.2020.1767086 Takashi Aoki 1 , Ryuichi Ishimura 2 , Yasunori Okada 3 , Daniele C. Struppa 4 , Shofu Uchida 5
Affiliation
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.
中文翻译:
给定阶整函数空间的连续自同态的刻画
在本文中,我们证明了具有给定阶次的整个函数空间上的连续自同态可以表示为满足适当增长条件的无限阶微分算子。