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

被引：3
|
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.
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页码：669 / 684
页数：16
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