New results on the continuous Weinstein wavelet transform

被引：10

作者：

Mejjaoli, Hatem ^{[1
]}

Salem, Ahmedou Ould Ahmed ^{[2
]}

机构：

[1] Taibah Univ, Dept Math, Coll Sci, POB 30002, Al Madinah Al Munawarah, Saudi Arabia

[2] King Khalid Univ, Dept Math, Coll Sci, Mohayil, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年

关键词：

Weinstein operator; Weinstein wavelet transform; localization operators; Schatten-von Neumann class; Heisenberg's type inequalities; TIME-FREQUENCY LOCALIZATION; UNCERTAINTY PRINCIPLES; OPERATORS;

D O I：

10.1186/s13660-017-1534-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the continuous wavelet transform S-h(W) associated with the Weinstein operator. We introduce the notion of localization operators for S-h(W). In particular, we prove the boundedness and compactness of localization operators associated with the continuous wavelet transform. Next, we analyze the concentration of S-h(W) on sets of finite measure. In particular, Benedicks-type and Donoho-Stark's uncertainty principles are given. Finally, we prove many versions of Heisenberg-type uncertainty principles for S-h(W).

引用

页数：25

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