Uncertainty Principle for Gabor Transform on the Quaternionic Heisenberg Group. (27th July 2021)

• Record Type: Journal Article
• Authors: Faress, Moussa; Fahlaoui, Said
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 10(2021)
• Page Start: 1222
• Page End: 1237
• Publication Date: 2021-07-27
• Subjects: Fourier transform -- Gabor transform -- Quaternionic Heisenberg group -- Uncertainty principles; 12J25 -- 26A33 -- 43A80 -- 44-XX; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1954016
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, we recall the main results of the Fourier transform on the quaternionic Heisenberg group, then we introduce the notion of the Gabor transform on this group and study some of its properties. Finally, we prove some uncertainty principles associated with this transform.