Shapiro's uncertainty principle and localization operators associated to the continuous wavelet transform

被引：7

作者：

Ben Hamadi, Nadia ^{[1
]}

Lamouchi, Haythem ^{[2
]}

机构：

[1] Inst Preparatoire Etud Ingenieurs El Manar, Dept Math, Tunis 2092 2, Tunisia

[2] Inst Preparatoire Etud Ingenieurs Tunis, Dept Math, Tunis, Tunisia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2017年 / 8卷 / 01期

关键词：

Continuous wavelet transform; Uncertainty principle; Orthonormal sequence; Time frequency localization; Dispersion principle; Shapiro's theorem; Heisenberg inequality; Umbrella theorem; TIME-FREQUENCY LOCALIZATION;

D O I：

10.1007/s11868-016-0175-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quantitative Shapiro's dispersion uncertainty principle and umbrella theorem are proved for the continuous wavelet transform. Also the localization operators associated with the continuous wavelet transform are studied.

引用

页码：35 / 53

页数：19

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