无最小正周期的周期函数的构造及其性质  

The Construction and Properties of Periodic Function without Minimal Positive Period

作　　者：邹晴霞[1] 王安[1] 朱一心[1] 

机构地区：[1]首都师范大学数学科学学院,北京100048

出　　处：《数学的实践与认识》2012年第23期257-261,共5页Mathematics in Practice and Theory

摘　　要：从群论的角度给出周期函数的等价定义.对任意给定的非循环群GR),构造出以G为周期集的无最小正周期的周期函数.讨论无最小正周期的周期函数的性质.An equivalent definition is given from the perspective of group theory. For any given G（G is a subset of R）, which is not a cyclic group, the periodic function with G as periodic set is constructed, and it is without minimal positive period. Properties of periodic function without minimal positive period is discussed.

关 键 词：周期函数 周期集 最小正周期 循环群 

分 类 号：O171[理学—数学]