加权Hardy空间中解析函数的唯一性及多元指数多项式的加权逼近  

Uniqueness of analytic functions in weighted Hardy space and weighted exponential polynomial approximation in many variables

作　　者：王翠巧[1] 邓冠铁[1] 

机构地区：[1]北京师范大学数学科学学院,北京师范大学数学与复杂系统教育部重点实验室,北京100875

出　　处：《北京师范大学学报（自然科学版）》2015年第4期334-339,共6页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11271045)

摘　　要：将Malliavin关于一元解析函数唯一性的结果推广到多元情形,利用所得结果得到了多元复指数系不完备的充分必要条件及其闭包的特征.In this paper, Malliavin＇s uniqueness theorem on analytic functions of one complex variable is generalized to analytic functions of several complex variables, and this is used to obtain a necessary and sufficient condition of incompleteness of complex exponential system and to give a characteristic of its closure.

关 键 词：解析函数 加权HARDY空间 唯一性 完备性 闭包 

分 类 号：O174.52[理学—数学]