Uncertainty Principles For The Continuous Quaternion Shearlet Transform

被引：0
|
作者：
Kamel Brahim
Bochra Nefzi
Emna Tefjeni
机构：
[1] University of Bisha,Department of Mathematics, College of Science
[2] University of Tunis El Manar,Faculty of Sciences of Tunis
来源：
Advances in Applied Clifford Algebras | 2019年 / 29卷
关键词：
Quaternion Fourier transform; Shearlet; The Continuous Quaternion Shearlet Transform; Uncertainty Principle; Heisenberg uncertainty inequality; Local uncertainty inequality; 42C40; 42A38; 42C15; 46S10; 44A35;
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摘要：
In this paper, we present some new elements of harmonic analysis related to the continuous quaternion shearlet transform .The main objective of this article is to introduce the concept of the quaternionic Shearlet transform and investigate its different properties using the machinery of quaternion Fourier transforms and quaternion convolution. Moreover, we derive the classical Heisenberg–Pauli–Weyl inequality. Last, we study quaternion shearlet transform on subset of finite measure.
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