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.

引用

页码：1930 / 1956

页数：27

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