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随机级数的例外函数
引用本文:孙道椿,陈特为.随机级数的例外函数[J].东北数学,2000,16(3):339-346.
作者姓名:孙道椿  陈特为
作者单位:Department of Mathematics,South China Normal University,Guangzh ou,510631
基金项目:The NSF (19971029) of China abd the Guangdong Provincial NSF (990444) of China.
摘    要:On random series, people usually study the case of equally distributed random variable sequences, such as Rademacher, Steinhaus and Gauss sequences, and discuss the exceptional constant values. In this paper, we extend the Lemma of PaleyZygmund to more general case, in order to study the random Taylor series of non equal distribution. Then we prove that for the random Taylor series almost surely (a. s.), there is no almost surely exceptional function, and that every point on the circumferen…

关 键 词:随机变量序列  期望方程  值分布  概率空间

Exceptional Functions of Random Series
SUN Dao-chun,and,CHEN Te-wei.Exceptional Functions of Random Series[J].Northeastern Mathematical Journal,2000,16(3):339-346.
Authors:SUN Dao-chun  and  CHEN Te-wei
Abstract:
Keywords:random serie  exceptional function  value distribution
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