Beurling's theorem associated with octonion algebra valued signals

DOI10.1007/978-3-031-30923-6_9zbMath1520.15012MaRDI QIDQ6134245

Mohra Zayed, Youssef El Haoui

Publication date: 21 August 2023

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

zbMATH Keywords

Fourier transformuncertainty principleClifford algebraoctonion algebraBeurling's theorem

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) Clifford algebras, spinors (15A66) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

• Unnamed Item
• A uniqueness theorem of Beurling for Fourier transform pairs
• The uncertainty principle: A mathematical survey
• Cauchy-Riemann operators in octonionic analysis
• Beurling's theorem for the 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
• Quaternion and Clifford Fourier Transforms and Wavelets
• A Theorem Concerning Fourier Transforms

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