The uncertainty principle for the octonion Fourier transform

DOI10.1002/mma.8667zbMath1529.42013OpenAlexW4293506608MaRDI QIDQ6182228

Youssef El Haoui, Mohra Zayed

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8667

zbMATH Keywords

Fourier transformuncertainty principleClifford algebraoctonion algebra

Mathematics Subject Classification ID

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

Cites Work

• Spherical singular integrals, monogenic kernels and wavelets on the three-dimensional sphere
• The uncertainty principle: A mathematical survey
• Cauchy-Riemann operators in octonionic analysis
• The uncertainty principle for the two-sided quaternion Fourier transform
• A generalization of the octonion Fourier transform to 3-D octonion-valued signals: properties and possible applications to 3-D LTI partial differential systems
• A sharper uncertainty principle
• Stronger uncertainty principles for hypercomplex signals
• A Theorem Concerning Fourier Transforms
• Pitt's Inequality and the Uncertainty Principle

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