A new uncertainty principle related to the generalized quaternion Fourier transform

DOI10.1007/S11868-021-00431-WzbMath1481.42008OpenAlexW3205400126MaRDI QIDQ2071840

Mohra Zayed, Youssef El Haoui

Publication date: 31 January 2022

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-021-00431-w

zbMATH Keywords

quaternion algebraquaternion Fourier transformBenedicks-Amrein-Berthier's theorem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (1)

Generalization of Titchmarsh's theorems for the Minkowski algebra

Cites Work

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• Two-sided Clifford Fourier transform with two square roots of \(-1\) in \(Cl(p,q)\)
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• Beurling's theorem for the quaternion Fourier transform
• General two-sided quaternion Fourier transform, convolution and mustard convolution
• Quaternion Fourier transform on quaternion fields and generalizations
• Benedicks-Amrein-Berthier type theorem and local uncertainty principles in Clifford algebras
• Quaternion and Clifford Fourier Transforms and Wavelets
• The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations

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