摘要
介绍了分段双加权伪概周期函数的概念.分段双加权伪概周期函数可以看做是分段加权伪概周期函数的推广也可以认为是双加权伪概周期函数的推广.首先给出分段双加权伪概周期函数的概念,然后介绍几个分段双加权伪概周期函数的几个性质:分解唯一性,分段双加权遍历空间的平移不变性.
In this paper,the definition of piecewise doubly weighted pseudo almost periodic functions are introduced.The piecewise doubly weighted pseudo almost periodic function can be regarded as the generalization of the piecewise weigh ted pseudo almost periodic function or the double weigh ted pseudo almost periodic function.First,the concept of piecewise double weighted pseudo almost periodic functions is given,and then two properties of some piecewise double weigh ted pseudo almost periodic functions are introduced:decomposition uniqueness,translation invariance of piecewise double weighted ergodic space.
作者
夏正德
宋娜
XIA Zheng-de;SONG Na(School of Science,North University of China,Taiyuan 030051,China)
出处
《数学的实践与认识》
北大核心
2019年第24期231-236,共6页
Mathematics in Practice and Theory
基金
中北大学理学院研究生创新科研项目
关键词
逐段双加权伪概周期函数
分解唯一性
平移不变性
piecewise doubly weighted pseudo almost periodic function
decomposition uniqueness
translation invariance