QUALITATIVE UNCERTAINTY PRINCIPLES FOR THE INVERSE OF THE HYPERGEOMETRIC FOURIER TRANSFORM

被引：0
|
作者：
Mejjaoli, Hatem [1 ]
机构：
[1] Taibah Univ, Dept Math, Coll Sci, POB 30002, Al Madinah Al Munawarah, Saudi Arabia
来源：
KOREAN JOURNAL OF MATHEMATICS | 2015年 / 23卷 / 01期
关键词：
Hypergeometric Fourier transform; Donoho-Stark's uncertainty principle; L-p Heisenberg-Pauli-Weyl uncertainty principle;
D O I：
10.11568/kjm.2015.23.1.129
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove an L-p version of Donoho-Stark's uncertainty principle for the inverse of the hypergeometric Fourier transform on R-d. Next, using the ultracontractive properties of the semigroups generated by the Heckman-Opdam Laplacian operator, we obtain an L-p Heisenberg-Pauli-Weyl uncertainty principle for the inverse of the hypergeometric Fourier transform on R-d.
引用
收藏
页码：129 / 151
页数：23
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