2 papers
math.CA2019
Donoho-Stark's Uncertainty Principles in Real Clifford Algebras
Youssef El Haoui, Said Fahlaoui
The Clifford Fourier transform (CFT) has been shown to be a powerful tool in the Clifford analysis. In this work, several uncertainty inequalities are established in the real Cliff…
math.CA2019
The Continuous quaternion Algebra-Valued Wavelet Transform and the Associated Uncertainty Principle
Youssef El Haoui, Said Fahlaoui
The purpose of this article is to extend the wavelet transform to quaternion algebra using the kernel of the two-sided quaternion Fourier transform (QFT). We study some fundamental…