Uncertainty principles for the right-sided multivariate continuous quaternion wavelet transform

被引：2

作者：

Tefjeni, Emna ^{[1
]}

Brahim, Kamel ^{[2
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia

[2] Univ Bisha, Coll Sci, Dept Math, Bisha, Saudi Arabia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2020年 / 31卷 / 08期

关键词：

Multivariate quaternion Fourier transform; wavelet; the multivariate continuous quaternion wavelet transform; uncertainty principles; FOURIER-TRANSFORM; PITTS INEQUALITY;

D O I：

10.1080/10652469.2020.1734927

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some new elements of harmonic analysis related to the right-sided multivariate continuous quaternion wavelet transform. The main objective of this article is to introduce the concept of the right-sided multivariate continuous quaternion wavelet transform and investigate its different properties using the machinery of multivariate quaternion Fourier transform. Last, we have proven a number of uncertainty principles for the right-sided multivariate continuous quaternion wavelet transform.

引用

页码：669 / 684

页数：16

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