Titchmarsh's theorems for the general double-sided orthogonal 2D-plans split QFT

DOI10.1007/S41478-022-00452-8OpenAlexW4283080109WikidataQ113891118 ScholiaQ113891118MaRDI QIDQ2692630

Saïd Fahlaoui, Hakim Monaim

Publication date: 22 March 2023

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-022-00452-8

zbMATH Keywords

quaternionic Fourier transformorthogonal 2D-planes splitshort-time quaternionic Fourier transformTitchmarsh theorems

Mathematics Subject Classification ID

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

Cites Work

• A variation on uncertainty principle and logarithmic uncertainty principle for continuous quaternion wavelet transforms
• Titchmarsh's theorem and some remarks concerning the right-sided quaternion Fourier transform
• Titchmarsh's theorem in Clifford analysis
• Quaternion Fourier transform on quaternion fields and generalizations
• Quaternion and Clifford Fourier Transforms and Wavelets
• The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations
• Hypercomplex Fourier Transforms of Color Images
• Sharp Hausdorff-Young inequalities for the quaternion Fourier transforms
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