Growth of (frequently) hypercyclic functions for differential operators

被引：3

作者：

Beise, Hans-Peter ^{[1
]}

Mueller, Juergen ^{[1
]}

机构：

[1] Univ Trier, D-54286 Trier, Germany

来源：

STUDIA MATHEMATICA | 2011年 / 207卷 / 02期

关键词：

frequently hypercyclic operators; growth conditions; functions of exponential type; integral transforms;

D O I：

10.4064/sm207-2-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the conjugate indicator diagram or, equivalently, the indicator function of (frequently) hypercyclic functions of exponential type for differential operators. This gives insights into growth conditions for these functions on particular rays or sectors. Our research extends known results in several respects.

引用

页码：97 / 115

页数：19

共 17 条

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