[1]陈叶君,丁惠生*,简伟刚.关于群上的概周期函数的几点注记[J].江西师范大学学报(自然科学版),2020,(02):202-205.[doi:10.16357/j.cnki.issn1000-5862.2020.02.16]
　CHEN Yejun,DING Huisheng*,JIAN Weigang.Some Notes about Almost Periodic Function on Groups[J].Journal of Jiangxi Normal University:Natural Science Edition,2020,(02):202-205.[doi:10.16357/j.cnki.issn1000-5862.2020.02.16]
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关于群上的概周期函数的几点注记()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2020年02期
页码:
202-205
栏目:
数学与应用数学
出版日期:
2020-04-10

文章信息/Info

Title:
Some Notes about Almost Periodic Function on Groups
文章编号:
1000-5862(2020)02-0202-04
作者:
陈叶君1; 丁惠生1*; 简伟刚1; 2
1.江西师范大学数学与信息科学学院,江西 南昌 330022; 2.豫章师范学院数学与计算机学院,江西 南昌 330103
Author(s):
CHEN Yejun1; DING Huisheng1*; JIAN Weigang1; 2
1.College of Mathematics and Information Science,Jiangxi Normal University,Nanchang Jiangxi 330022,China; 2.School of Mathematics and Computer Science,Yuzhang Normal university,Nanchang Jiangxi 330103,China
关键词:
群;  概周期函数;  Banach空间;  正规序列
Keywords:
group;  almost periodic function;  Banach space;  normal sequence(责任编辑:曾剑锋)
分类号:
O 174.2; O 177.91
DOI:
10.16357/j.cnki.issn1000-5862.2020.02.16
文献标志码:
A
摘要:
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.
Abstract:
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 of ε translation sets of almost periodic functions on locally compact Abelian groups are studied and some relevant results are obtained.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2019-10-10
基金项目:国家自然科学基金(11861037),江西省自然科学基金重点课题(20192ACB20012)和江西省研究生创新基金(YC2018-S152)资助项目.
通信作者:丁惠生(1979-),男,安徽无为人,教授,博士,博士生导师,主要从事非线性泛函分析研究.E-mail:dinghs1979@jxnu.edu.cn
更新日期/Last Update: 2020-04-10