Linear factorization of hypercyclic functions for differential operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:485

Article

Chan, Kit C.¹  Hofstad, Jakob³  Walmsley, David² 

[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

关键词: Hypercyclicity;    Differentiation;    Translation;    Infinite product;    Entire functions;    Exponential type;   

DOI  :  10.1016/j.jmaa.2019.123804

来源: Elsevier

【 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.

【 授权许可】

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