COMMON CYCLIC ENTIRE-FUNCTIONS FOR PARTIAL-DIFFERENTIAL OPERATORS

被引：12

作者：

CHAN, KC ^{[1
]}

机构：

[1] MICHIGAN STATE UNIV,DEPT MATH,E LANSING,MI 48824

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1990年 / 13卷 / 01期

关键词：

D O I：

10.1007/BF01195296

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H(ℂN) denote the Fréchet space of all entire functions of N variables (N≥1). The purpose of this paper is to prove the existence of a dense set of functions f in H(ℂN) such that if L is any nonscalar linear differential operator with constant coefficients, then the set {p(L)f:p(·) is a polynomial} is dense in H(ℂN). © 1990 Birkhäuser Verlag.

引用

页码：132 / 137

页数：6