Benedicks–Amrein–Berthier type theorem related to Weinstein transform

被引：0
|
作者：
A. Achak
R. Daher
机构：
[1] University of Hassan II,Department of Mathematics, Faculty of Sciences Aïn Chock
来源：
Analysis Mathematica | 2017年 / 43卷
关键词：
Weinstein transform; Benedicks–Amrein–Berthier’s theorem; Donoho–Stark’s uncertainty principle; 42A38; 44A35; 34B30;
D O I：
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学科分类号：
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 Fα(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：10
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