摘要
本文在可分的Banach空间研究Riesz半群无穷小母元广义本征函数系统的完整性,利用母元的予解式和谱分布,我们给出予解式的级为有限时广义本征函数系统完整性的判定.
In this paper we study the completeness of system of generalized eigenfunctions of A, which is the infinitesimal generator of a Riesz semigroup in a separable Banach space. In view of the resolvent and the spectral distribution of A, we present the criterion of completeness of system of generalized eigenfunction of A with resolvent of order p < +∞.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1996年第2期263-267,共5页
Acta Mathematica Sinica:Chinese Series
基金
山西省青年科学基金
关键词
Riesz半群
半群
广义
完整性
特征函数
Riesz semigroup, infinitemsimal generator, generalized eigenfunction, completeness