摘要
概自守函数是殆周期函数的扩张,其性质虽比殆周期函数的性质差.但比回复函数的性质好.本文把概自守函数拓广为一类更广泛的一致概自守函数。並利用极限定理和对角线法研究它的性质,得到好的结果.
Almost-automorphic function is known as the extension of almost periodic function which is again the extension of periodic function.The pro- perty of almost-automorphic function is“worse”than that of almost periodic function but“better”thanthat of recurrent function.The authors extend almost-automorphic function to uniformly almost automorphic function which is more extensive;and then study its properties by making use of limit theorem and diagonal method.
出处
《华侨大学学报(自然科学版)》
CAS
1991年第2期147-153,共7页
Journal of Huaqiao University(Natural Science)
关键词
殆周期函数
扩张
一致
概自守函数
almost periodic function
extension
limit theorems
uniformly almost automorphic function
diagonal method