Generalized uncertainty principles associated with the quaternionic offset linear canonical transform

DOI10.1080/17476933.2021.1916919zbMath1494.42008arXiv1807.04068OpenAlexW3158084075MaRDI QIDQ5094515

Youssef El Haoui, Eckhard M. S. Hitzer

Publication date: 3 August 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04068

zbMATH Keywords

uncertainty principlequaternion Fourier transformquaternionic linear canonical transformquaternionic offset linear canonical transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Other transforms and operators of Fourier type (43A32) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (8)

Uncertainty principles for Wigner-Ville distribution associated with the quaternion offset linear canonical transform ⋮ Pseudo‐differential operator in quaternion space ⋮ The two‐sided short‐time quaternionic offset linear canonical transform and associated convolution and correlation ⋮ Clifford wavelet transform and the uncertainty principle ⋮ A variation on uncertainty principles for quaternion linear canonical transform ⋮ One-dimensional quaternionic special affine Fourier transform ⋮ Short-time special affine Fourier transform for quaternion-valued functions ⋮ Special affine Fourier transform for space-time algebra signals in detail

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