关于条件特征函数的一些注记

A Note on the Conditional Eigenfunction

定义了随机变量在非零事件下的条件特征函数,讨论了随机变量的特征函数与条件特征函数的关系,并给出了条件特征函数的若干性质,还定义了条件分布函数的条件特征函数,讨论了条件分布函数和相应的条件特征函数之间的关系.

The paper offers a definition of the conditional eigenfunction of the random variable on the condition of event which is non-zero.And an attempt is made to discuss the relationship between the eigenfunction and conditional eigenfunction,and also discuss some properties of conditional eigenfunction.It also offers a definition of the conditional eigenfunction of the conditional distribution.And a try is made to discuss the relationship between the conditional distribution and conditional eigenfunction.