摘要
证明了定义在拓扑加群上连续周期函数的所有周期构成一个闭子群,作为应用给出了定义在实数集和复数集上连续周期函数的分类.
It is proved in this paper that the set of all periods of a continuous periodic function defined on an additive topological group constitutes a closed subgroup of the domain. As applica- tions, the classifications of all continuous periodic functions defined on the set of real numbers and the set of all complex numbers are given.
出处
《扬州大学学报（自然科学版）》
CAS
北大核心
2016年第4期22-24,42,共4页
Journal of Yangzhou University：Natural Science Edition
基金
国家自然科学基金资助项目(11501404)
江苏省自然科学基金资助项目(BK20140583)
江苏省高校自然科学基金资助项目(14KJB110024)
关键词
周期函数
拓扑群
闭子群
periodic function
topological group
closed subgroup
