分段双加权伪概周期函数及其分解唯一性

Doubly Weighted Pseudo Almost Periodic Function and Unique Decomposition

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.