A VARIATION OF Lp LOCAL UNCERTAINTY PRINCIPLES FOR WEINSTEIN

被引:3
|
作者
Saoudi, Ahmed [1 ]
Kallel, Imen [1 ]
机构
[1] Northern Border Univ, Coll Sci, Dept Math, Ar Ar, Saudi Arabia
来源
PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2024年 / 25卷 / 01期
关键词
Weinstein operator; local uncertainty principles; Heisenberg-Pauli-Weyl-type inequality; Donoho-Stark-type inequality; INEQUALITIES;
D O I
10.59277/PRA-SER.A.25.1.01
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The main crux of this paper is to introduce L-p local uncertainty inequalities for the Weinstein transform, and we study L-p version of the Heisenberg-Pauli-Weyl uncertainty inequalities for this transform. Then, by using the L-p local uncertainty inequalities for the Weinstein transform and the tools of Donoho-Stark, we obtain uncertainty principles of concentration in the L-p theory, for all 1 < p <= 2.
引用
收藏
页码:3 / 10
页数:8
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