Titchmarsh's theorem and some remarks concerning the right-sided quaternion Fourier transform

DOI10.1007/S40590-019-00274-YzbMath1440.43015OpenAlexW2997270412WikidataQ126412742 ScholiaQ126412742MaRDI QIDQ2189028

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

Publication date: 15 June 2020

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-019-00274-y

zbMATH Keywords

quaternion Fourier transformLipschitz classDini-Lipschitz classTitchmarsh theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis on hypergroups (43A62) Harmonic analysis and PDEs (42B37)

Related Items (8)

Equivalence between K-functionals and modulus of smoothness on the quaternion algebra ⋮ Jackson theorems for the quaternion linear canonical transform ⋮ Titchmarsh's theorems for the general double-sided orthogonal 2D-plans split QFT ⋮ Wavelet transform of Dini Lipschitz functions on the quaternion algebra ⋮ Titchmarsh's theorem in Clifford analysis ⋮ Quaternion Fourier transform and generalized Lipschitz classes ⋮ Octonion Fourier transform of Lipschitz real-valued functions of three variables on the octonion algebra ⋮ Growth properties of the \(q\)-Dunkl transform in the space \(L^p_{q,\alpha }({\mathbb{R}}_q,|x|^{2\alpha +1}d_qx)\)

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