Octonion Fourier transform of Lipschitz real-valued functions of three variables on the octonion algebra

DOI10.1007/s11868-021-00405-yzbMath1468.30081OpenAlexW3138588132MaRDI QIDQ2033463

A. Bouhlal, N. Safouane, Jaouad Igbida

Publication date: 17 June 2021

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

Full work available at URL: https://doi.org/10.1007/s11868-021-00405-y

zbMATH Keywords

octonionsoctonion Fourier transform

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items

Equivalence between K-functionals and modulus of smoothness on the quaternion algebra ⋮ Yang-Fourier transforms of Lipschitz local fractional continuous functions ⋮ Modulus of smoothness and approximation theorems in Clifford analysis ⋮ Mellin transform of log-Lipschitz functions and equivalence of \(K\)-functionals and modulus of smoothness generated by the Mellin Steklov operator ⋮ Some new estimates concerning the Mellin transform on the space \(X_c^2\)

Cites Work

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• Fourier transforms of Dini-Lipschitz functions on rank 1 symmetric spaces
• Growth and integrability of Fourier transforms on Euclidean space
• Generalized octonion electrodynamics
• Growth properties of Fourier transforms via moduli of continuity
• Fourier transforms of Dini-Lipschitz functions
• Fourier transforms of Lipschitz functions on certain Lie groups
• On the application of a generalized translation operator in the approximation theory
• The Fourier transforms of Lipschitz functions on the Heisenberg group
• An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups
• Some equivalence theorems with \(K\)-functionals
• Titchmarsh's theorem and some remarks concerning the right-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
• Wavelet transform of Dini Lipschitz functions on the quaternion algebra
• The unified theory of \(n\)-dimensional complex and hypercomplex analytic signals
• Quaternionic analysis

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