HARMONIC ANALYSIS AND UNCERTAINTY PRINCIPLES FOR INTEGRAL TRANSFORMS GENERALIZING THE SPHERICAL MEAN OPERATOR

被引：0

作者：

Hleili, Khaled ^{[1
]}

Omri, Slim ^{[2
]}

Rachdi, Lakhdar Tannech ^{[3
]}

机构：

[1] Inst Appl Sci & Technol Tunis, Ctr Urbain Nord, Dept Math & Informat, BP 676, Tunis 1080, Tunisia

[2] Campus Univ, Preparatory Inst Engn Study, Nambeul 80000, Tunisia

[3] Fac Sci Tunis, Dept Math, Tunis, Tunisia

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 4卷 / 01期

关键词：

Integral transform; Fourier transform; Inversion formula; Uncertainty principles;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For m,n is an element of N; m <= n >= 1, we define an integral transform R-m,R-n, that generalizes the spherical mean operator. We establish many harmonic analysis results for the Fourier transform p(m,n) connected with R-m,R-n. Next, we establish inversion formulas for the operator R-m,R-n and its dual (t) R-m,R-n. Finally, we prove some uncertainty principles related to the Fourier transform P-m,P-n

引用

页码：29 / 61

页数：33

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