1 citations · 2 across the 5 of their papers we have counts for
10 papers
General One-dimensional Clifford Fourier Transform and Application to Probability Theory
Said Fahlaoui, Hakim Monaim
In this paper, we present the general one-dimensional Clifford Fourier Transform. We derive fundamental properties: Plancherel theorem, reconstruction and convolution formulas. Add…
Titchmarsh theorem associated with QFT
Hakim Monaim, Said Fahlaoui
In this paper, we prove both of the Titchmarsh theorems associated with Two-Sided Quaternionic Fourier Transform and we conclude about Short-Time Two-Sided Quaternionic Fourier Tra…
Uncertainty Principles For the continuous Gabor quaternion linear canonical transform
Mohammed El Kassimi, Said Fahlaoui
Gabor transform is one of the performed tools for time-frequency signal analysis. The principal aim of this paper is to generalize the Gabor Fourier transform to the quaternion lin…
Local uncertainty principles for the two-sided Gabor quaternion Fourier transform
M. El Kassimi, S. Fahlaoui
By the important applications of Gabor transform in time-frequency analysis and signal analysis, in this paper, we consider the Gabor quaternion Fourier transform (GQFT), and we pr…
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…
The two-sided Gabor quaternion Fourier transform and some uncertainty principles
Mohammed El Kassimi, Said Fahlaoui
In this paper, we define a new transform called the Gabor quaternionic Fourier transform (GQFT), which generalizes the classical windowed Fourier transform to quaternion valued-sig…