Linear factorization of hypercyclic functions for differential operators

被引：1
|
作者：
Chan, Kit C. [1 ]
Hofstad, Jakob [3 ]
Walmsley, David [2 ]
机构：
[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA
[2] St Olaf Coll, Dept Math Stat & Comp Sci, Northfield, MN 55057 USA
[3] St Olaf Coll, Northfield, MN 55057 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 485卷 / 02期
关键词：
Hypercyclicity; Differentiation; Translation; Infinite product; Entire functions; Exponential type; THEOREM; SPACES;
D O I：
10.1016/j.jmaa.2019.123804
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On the Frechet space of entire functions H(C), we show that every nonscalar continuous linear operator L : H(C) -> H(C) which commutes with differentiation has a hypercyclic vector f(z) in the form of the infinite product of linear polynomials: f(z) = Pi(infinity )(j=1)(1 - z/a(j)), where each a(j) is a nonzero complex number. (C) 2019 Elsevier Inc. All rights reserved.
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页数：21
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