Uncertainty principle for space-time algebra-valued functions

DOI10.1007/s00009-021-01718-4zbMath1464.42009OpenAlexW3147482491MaRDI QIDQ2025847

Youssef El Haoui

Publication date: 17 May 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01718-4

zbMATH Keywords

uncertainty principleClifford-Fourier transformspace-time Fourier transform

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 (4)

Generalization of Titchmarsh's theorems for the Minkowski algebra ⋮ Spacetime linear canonical transform and the uncertainty principles ⋮ Fractional Fourier transform for space-time algebra-valued functions ⋮ Real Paley-Wiener theorems for the space-time Fourier transform

Cites Work

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• Two-sided Clifford Fourier transform with two square roots of \(-1\) in \(Cl(p,q)\)
• Clifford Fourier transformation and uncertainty principle for the Clifford geometric algebra \(\mathrm{Cl}_{3,0}\)
• The uncertainty principle for the two-sided quaternion Fourier transform
• Donoho-Stark's uncertainty principles in real Clifford algebras
• Heisenberg's and Hardy's uncertainty principles for special relativistic space-time Fourier transformation
• Quaternion Fourier transform on quaternion fields and generalizations
• Uncertainty Principles and Signal Recovery
• Uncertainty principle for multivector-valued functions
• Special relativistic Fourier transformation and convolutions
• Introduction to nonlinear dispersive equations
• Directional uncertainty principle for quaternion Fourier transform

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