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pro vyhledávání: '"Haoui, Youssef El"'
Autor:
Haoui, Youssef El, Fahlaoui, Said
Publikováno v:
Adv. Appl. Clifford Algebras (2019) 29: 94
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 Clifford algebra $Cl_{(p,q)}$, \ including the Hausdorf-Young inequality, a
Externí odkaz:
http://arxiv.org/abs/1902.08465
Autor:
Haoui, Youssef El, Fahlaoui, Said
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 properties of this extension such as scaling, translation, rotation,
Externí odkaz:
http://arxiv.org/abs/1902.08461
The Wigner-Ville distribution (WVD) and quaternion offset linear canonical transform (QOLCT) are a useful tools in signal analysis and image processing. The purpose of this paper is to define the Wigner-Ville distribution associated with quaternionic
Externí odkaz:
http://arxiv.org/abs/1901.01097
The quaternionic offset linear canonical transform (QOLCT) can be thought as a generalization of the quaternionic linear canonical transform (QLCT). In this paper we define the QOLCT, we derive the relationship between the QOLCT and the quaternion Fo
Externí odkaz:
http://arxiv.org/abs/1807.04068
Autor:
Haoui, Youssef El, Fahlaoui, Said
The main objective of the present paper is to establish a new uncertainty principle (UP) for the two-sided quaternion Fourier transform (QFT). This result is an extension of a result of Benedicks, Amrein and Berthier, which states that a nonzero func
Externí odkaz:
http://arxiv.org/abs/1807.04079
Autor:
Haoui, Youssef El, Fahlaoui, Said
Publikováno v:
Circuits, Systems, and Signal Processing, 2019
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 transform.
Externí odkaz:
http://arxiv.org/abs/1711.07519
Autor:
Haoui, Youssef El, Fahlaoui, Said
Publikováno v:
Pseudo-Differential Operators and Applications, 2019
The two-sided quaternion Fourier transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling's theorem, Hardy, Cowling-Price and Gelfand-Shilov theorems, is obtained for the two-sided quate
Externí odkaz:
http://arxiv.org/abs/1711.04142
Autor:
Haoui, Youssef El, Fahlaoui, Said
Publikováno v:
Mediterr. J. Math. (2017) 14: 221
In this paper, we provide the Heisenberg's inequality and the Hardy's theorem for the two-sided quaternion Fourier transform.
Comment: arXiv admin note: text overlap with arXiv:1506.04921 by other authors
Comment: arXiv admin note: text overlap with arXiv:1506.04921 by other authors
Externí odkaz:
http://arxiv.org/abs/1710.01131