Lieb, Entropy and Logarithmic uncertainty principles for the multivariate continuous quaternion Shearlet Transform

In this paper, we generalize the continuous quaternion shearlet transform on \(\mathbb{R}^{2}\) to \(\mathbb{R}^{2d}\), called the multivariate two sided continuous quaternion shearlet transform. Using the two sided quaternion Fourier transform, we derive several important properties such as (recons...

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Veröffentlicht in:	arXiv.org 2019-12
Hauptverfasser:	Kamel, Brahim, Tefjeni, Emna, Nefzi, Bochra
Format:	Artikel
Sprache:	eng
Schlagworte:	Entropy Fourier transforms Multivariate analysis Quaternions Uncertainty principles
Online-Zugang:	Volltext
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