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?
가권 Hardy 공간중해석함수적유일성급다원지수다항식적가권핍근?
Uniqueness of analytic functions in weighted Hardy space and weighted exponential polynomial approximation in many variables
  • 万方数据
    北京师范大学学报（自然科学版） 북경사범대학학보（자연과학판）
    JOURNAL OF BEIJING NORMAL UNIVERSITY
    2015年 4期 334-339 ,共6页

    王翠巧%邓冠铁

    왕취교%산관철

    解析函数%加权Hardy空间%唯一性%完备性%闭包 解析函數%加權Hardy空間%唯一性%完備性%閉包
    해석함수%가권Hardy공간%유일성%완비성%폐포
    analytic function%Hardy space%uniqueness%completeness%closure
    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。
    장 Malliavin 관우일원해석함수유일성적결과추엄도다원정형，이용소득결과득도료다원복지수계불완비적충분필요조건급기폐포적특정。
    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.
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