Uncertainty principles for the generalized Fourier transform associated to a Dunkl-type operator

被引：9
|
作者：
Mejjaoli, Hatem [1 ]
机构：
[1] Taibah Univ, Dept Math, Coll Sci, POB 30002, Al Madinah, Al Munawarah, Saudi Arabia
来源：
APPLICABLE ANALYSIS | 2016年 / 95卷 / 09期
关键词：
generalized Fourier transform; Hardy's type theorem; Cowling-Price's theorem; Beurling's theorem; Donoho-Stark's uncertainty principle; variants of Heisenberg's uncertainty principle; DIFFERENTIAL-DIFFERENCE OPERATOR; SPHEROIDAL WAVE-FUNCTIONS; TRANSMUTATION OPERATORS; REAL LINE; THEOREM; SPACES;
D O I：
10.1080/00036811.2015.1080248
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove various mathematical aspects of the qualitative and quantitative uncertainty principle, including Hardy's, Cowling-Price and its variants, Beurling and its variants, Gelfand-Shilov, Donoho-Stark's uncertainty principle, and variants of Heisenberg's inequalities for the generalized Fourier transform associated to a Dunkl-type operator on the real line.
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页码：1930 / 1956
页数：27
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