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Exponential type of hypercyclic entire functions
被引：0
作者：
L. Bernal-González
A. Bonilla-Ramírez
机构：
[1] Departamento de Análisis Matemático,
[2] Facultad de Matemáticas,undefined
[3] Apdo. 1160,undefined
[4] Avenida Reina Mercedes,undefined
[5] 41080-Sevilla,undefined
[6] Spain,undefined
[7] e-mail: lbernal@us.es,undefined
[8] Departamento de Análisis Matemático,undefined
[9] Facultad de Matemáticas,undefined
[10] Universidad de La Laguna,undefined
[11] Tenerife,undefined
[12] Canary Island,undefined
[13] Spain,undefined
[14] e-mail: abonilla@ull.es,undefined
来源：
Archiv der Mathematik
|
2002年
/
78卷
关键词：
Hilbert Space;
Differential Operator;
Entire Function;
Suitable Condition;
Exponential Type;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper the exponential type of hypercyclic entire functions with respect to a sequence¶\documentclass[12pt]{minimal}
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\begin{document}
$ (\Phi_{n}(D)) $\end{document} of differential operators is considered, where every \documentclass[12pt]{minimal}
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$ \Phi_n $\end{document} is an entire function of exponential type. We prove that under suitable conditions certain rates of growth are possible for hypercyclicity while others are not. In particular, our statements extend the negative part of a sharp result on growth of D-hypercyclic entire functions due to Grosse-Erdmann, and are related to a result by Chan and Shapiro about the existence of \documentclass[12pt]{minimal}
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$ \Phi(D) $\end{document}-hypercyclic functions in certain Hilbert spaces of entire functions.
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页码：283 / 290
页数：7
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