Dini-Lipschitz functions for the quaternion linear canonical transform

DOI10.1007/s12215-020-00490-wzbMath1470.44004OpenAlexW3011906685MaRDI QIDQ2024402

N. Safouane, Azzedine Achak, Radouan Daher, A. Bouhlal

Publication date: 4 May 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00490-w

zbMATH Keywords

\(K\)-functionalquaternion linear canonical transformLipschitz classDini-Lipschitz classTitchmarsh theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Rate of convergence, degree of approximation (41A25) Harmonic analysis and PDEs (42B37)

Related Items (5)

Equivalence between K-functionals and modulus of smoothness on the quaternion algebra ⋮ Uncertainty principles associated with quaternion linear canonical transform and their estimates ⋮ Yang-Fourier transforms of Lipschitz local fractional continuous functions ⋮ 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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• A simplified proof of uncertainty principle for quaternion linear canonical transform
• On two-dimensional quaternion Wigner-Ville distribution
• Some equivalence theorems with \(K\)-functionals
• Quaternionic analysis

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