Reproducing inversion formulas and uncertainty principles for the windowed fourier transform related to the spherical mean operator

被引：0
|
作者：
Hleili, Khaled [1 ,2 ]
机构：
[1] Northern Borders Univ, Fac Sci, Dept Math, Ar Ar, Saudi Arabia
[2] Preparatory Inst Engn Studies Kairouan, Dept Math, Kairouan, Tunisia
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 09期
关键词：
Spherical mean operator; windowed Fourier transform; inversion formulas; Heisenberg's type inequality; Donoho-Stark's uncertainty principles; Faris-Price's uncertainty principle; GABOR TRANSFORM; INEQUALITIES;
D O I：
10.1142/S1793557123501590
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define and study the windowed Fourier transform, called also the Gabor transform, associated with the spherical mean operator and we prove for this transform the reproducing inversion formulas. We also prove several versions of Heisenberg type inequalities, Donoho-Stark's uncertainty principles and finally Faris-Price's uncertainty principle for the previous transform.
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收藏
页数：26
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