45 citations · 91 across the 3 of their papers we have counts for
3 papers
math.CA2017★ 25 cited
Beurling's Theorem for the Two-sided Quaternion Fourier Transform
Youssef El Haoui, Said Fahlaoui
The two-sided quaternion Fourier transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling's theorem, Hardy, Cowling-…
math.CA2017★ 21 cited
Miyachi's Theorem for the Quaternion Fourier Transform
Youssef El Haoui, Said Fahlaoui
The quaternion Fourier transform (QFT) satisfies some uncertainty principles similar to the Euclidean Fourier transform. In this paper, we establish Miyachi's theorem for this tran…
math.CA2017★ 45 cited
The uncertainty principle for the two-sided quaternion Fourier transform
Youssef El Haoui, Said Fahlaoui
In this paper, we provide the Heisenberg's inequality and the Hardy's theorem for the two-sided quaternion Fourier transform.