Uncertainty principles for the right-sided multivariate continuous quaternion wavelet transform. Issue 8 (2nd August 2020)

• Record Type: Journal Article
• Authors: Tefjeni, Emna; Brahim, Kamel
• Is Part Of: Integral transforms and special functions. Volume 31:Issue 8(2020)
• Page Start: 669
• Page End: 684
• Publication Date: 2020-08-02
• Subjects: Multivariate quaternion Fourier transform -- wavelet -- the multivariate continuous quaternion wavelet transform -- uncertainty principles; 11R52 -- 42A38 -- 42B10; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2020.1734927
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: 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.