Uncertainty principles for the windowed Hankel transform

被引：4
|
作者：
Gao, Wen-Biao [1 ,2 ]
Li, Bing-Zhao [1 ,2 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 102488, Peoples R China
[2] Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 102488, Peoples R China
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2020年 / 31卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Hankel transform; windowed Hankel transform; uncertainty principle; General; LOCALIZATION; THEOREM;
D O I：
10.1080/10652469.2020.1774576
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to prove some new uncertainty principles for the windowed Hankel transform. They include uncertainty principle for orthonormal sequence, local uncertainty principle, logarithmic uncertainty principle and Heisenberg-type uncertainty principle. As a side result, we obtain the Shapiro's dispersion theorem for the windowed Hankel transform.
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页码：982 / 997
页数：16
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