Universal zero solutions of linear partial differential operators

被引：5

作者：

Kalmes, Thomas ^{[1
]}

Niess, Markus ^{[2
]}

机构：

[1] Univ Trier, FB Math 4, D-54286 Trier, Germany

[2] Katholishe Univ Eichstatt Ingolstadt, Math Geog Fak, D-85071 Eichstatt, Germany

来源：

STUDIA MATHEMATICA | 2010年 / 198卷 / 01期

关键词：

universality; hypercyclic sequence; dense subspace of universal elements; composition operators; kernels of linear differential operators;

D O I：

10.4064/sm198-1-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalized approach to several universality results is given by replacing holomorphic or harmonic functions by zero solutions of arbitrary linear partial differential operators Instead of the approximation theorems of Runge and others, we use an approximation theorem of Hormander.

引用

页码：33 / 51

页数：19

共 16 条

[1] Densely hereditarily hypercyclic sequences and large hypercyclic manifolds [J].