绍兴文理学院学报2024,Vol.44Issue(8) :47-52.DOI:10.16169/j.issn.1008-293x.2024.08.006

三种定义域下Bohr概周期函数与Bochner概周期函数等价性的证明

Proof of Equivalence Between Bohr Almost Periodic Function and Bochner Almost Periodic Function Under Three Definition Domains

赵莉莉
绍兴文理学院学报2024,Vol.44Issue(8) :47-52.DOI:10.16169/j.issn.1008-293x.2024.08.006

三种定义域下Bohr概周期函数与Bochner概周期函数等价性的证明

Proof of Equivalence Between Bohr Almost Periodic Function and Bochner Almost Periodic Function Under Three Definition Domains

赵莉莉1
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作者信息

  • 1. 云南大学 数学与统计学院,云南 昆明 650091
  • 折叠

摘要

采用构造法与反证法,针对实数集、整数集,以及时标的不同特点,分别给出了三种定义域下,Bohr概周期函数与Bochner概周期函数等价性的证明.

Abstract

The equivalence of Bohr almost periodic function and Bochner almost periodic function in three domains are proved by construction method and proof by contradiction in accordance with the different characteristics of real number set,integer set and time scale.

关键词

Bohr概周期函数/Bochner概周期函数/实数集/整数集/时标

Key words

Bohr almost periodic function/Bochner function/set of real numbers/integer set/time scale

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基金项目

云南省教育厅自然科学基金项目(2020J0020)

云南大学教育教学改革项目(2023Y22)

出版年

2024
绍兴文理学院学报
绍兴文理学院

绍兴文理学院学报

CHSSCD
影响因子:0.267
ISSN:1008-293X
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