The Donoho-Stark, Benedicks and Heisenberg type uncertainty principles, and the localization operators for the Heckman-Opdam continuous wavelet transform on Rd

被引：0

作者：

Mejjaoli, Hatem ^{[1
]}

Trimeche, Khalifa ^{[2
]}

机构：

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

[2] Univ El Manar, Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2017年 / 8卷 / 03期

关键词：

Cherednik operators; Heckman-Opdam wavelet transform; Localization operators; Schatten-von Neumann class; Heisenberg's type inequalities; HARMONIC-ANALYSIS;

D O I：

10.1007/s11868-017-0194-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the continuous wavelet transform Phi(w)(h) associated with the Heckman-Opdam operators on R-d . We analyse the concentration of this transform on sets of finite measure. In particular, Donoho-Stark and Benedicks-type uncertainty principles are given. Next, we prove many versions of Heisenberg-type uncertainty principles for Phi(w)(h) . Finally, we investigate the localization operators for Phi(w)(h) , in particular we prove that they are in the Schatten-von Neumann class.

引用

页码：423 / 452

页数：30

共 20 条

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