Benedicks-Amrein-Berthier type theorem related to Weinstein transform

被引：5
|
作者：
Achak, A. [1 ]
Daher, R. [1 ]
机构：
[1] Univ Hassan 2, Fac Sci Ain Chock, Dept Math, Casablanca 20100, Morocco
来源：
ANALYSIS MATHEMATICA | 2017年 / 43卷 / 04期
关键词：
Weinstein transform; Benedicks-Amrein-Berthier's theorem; Donoho-Stark's uncertainty principle; UNCERTAINTY PRINCIPLES;
D O I：
10.1007/s10476-017-0201-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to prove a new uncertainty principle for the Weinstein transform. This result is an extension of a result of Benedicks, Amrein and Berthier, which states that a nonzero function f and its Weinstein transform F (alpha) (f) cannot both have support of finite measure. We also extend Donoho-Strak's local uncertainty principle to the Weinstein transform.
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页码：511 / 521
页数：11
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