Convolution theorems for quaternion Fourier transform: properties and applications
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Publication:2016662
DOI10.1155/2013/162769zbMath1297.42015OpenAlexW2039603470WikidataQ58915400 ScholiaQ58915400MaRDI QIDQ2016662
Mawardi Bahri, Rémi Vaillancourt, Ryuichi Ashino
Publication date: 20 June 2014
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/162769
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Heat equation (35K05) Hypoelliptic equations (35H10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Harmonic analysis and PDEs (42B37)
Related Items (10)
A modified uncertainty principle for two-sided quaternion Fourier transform ⋮ A simplified proof of uncertainty principle for quaternion linear canonical transform ⋮ Uncertainty principle for the two sided quaternion windowed Fourier transform ⋮ Beurling's theorem for the quaternion Fourier transform ⋮ Uncertainty principles for the continuous quaternion shearlet transform ⋮ Quaternion offset linear canonical transform in one-dimensional setting ⋮ Uncertainty principle for the two-sided quaternion windowed Fourier transform ⋮ A convolution theorem related to quaternion linear canonical transform ⋮ On Heisenberg and local uncertainty principles for the multivariate continuous quaternion shearlet transform ⋮ Multilinear Localization Operators Associated to Quaternion Fourier Transforms
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