Localization operators of the wavelet transform associated to the Riemann-Liouville operator

被引：7

作者：

Baccar, C. ^{[1
]}

Hamadi, N. B. ^{[2
]}

机构：

[1] Higher Inst Informat El Manar, Dept Appl Math, 2 Rue Abou Raihan El Bayrouni, Ariana 2080, Tunisia

[2] Preparatory Inst Engn Studies El Manar, Dept Math, El Manar 2, Tunis 2092, Tunisia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2016年 / 27卷 / 04期

关键词：

Riemann-Liouville operator; Fourier transform; continuous wavelet transform; localization operator; Schatten class operators; TIME-FREQUENCY LOCALIZATION; INVERSION;

D O I：

10.1142/S0129167X16500361

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the continuous wavelet transform T-psi associated with the Riemann-Liouville operator. Next, we investigate the localization operators for T-psi; in particular we prove that they are in the Schatten-von Neumann class.

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页数：20

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