关于群上的概周期函数的几点注记

Some Notes about Almost Periodic Function on Groups

该文研究了群上的Banach值概周期函数的性质,证明了值域为有限维Banach空间的右概周期函数与左概周期函数是等价的,研究了正规序列的相关条件以及局部紧交换群上的Bohr概周期函数的ε平移集的性质并得到了相关结果.

In this paper,the properties of Banach-valued almost periodic functions on groups are studied and it is proved that the right almost periodic functions and the left almost periodic functions are equivalent in Banach spaces which are finite dimension.In addition,the conditions of normal sequences and the properties ofεtranslation sets of almost periodic functions on locally compact Abelian groups are studied and some relevant results are obtained.