Continuous quaternion fourier and wavelet transforms

DOI10.1142/S0219691314600030zbMath1301.42015OpenAlexW2126414379MaRDI QIDQ2922066

Mawardi Bahri, Ryuichi Ashino, Rémi Vaillancourt

Publication date: 9 October 2014

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691314600030

zbMATH Keywords

quaternion algebraquaternion Fourier transformquaternion wavelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Other transformations of harmonic type (42C20)

Related Items (18)

A natural convolution of quaternion valued functions and its applications ⋮ Quaternionic fractional wavelet transform ⋮ Multidimensional quaternionic Gabor transforms ⋮ Jackson theorems for the quaternion linear canonical transform ⋮ A variation on uncertainty principle and logarithmic uncertainty principle for continuous quaternion wavelet transforms ⋮ A version of uncertainty principle for quaternion linear canonical transform ⋮ Clifford valued shearlet transform ⋮ General double-sided orthogonal planes split QFT and wavelet transform on functions and distribution spaces ⋮ Two-sided Clifford wavelet function in \(Cl(p, q)\) ⋮ Unnamed Item ⋮ Some results for the two-sided quaternionic Gabor Fourier transform and quaternionic Gabor frame operator ⋮ Tensor transform-based quaternion Fourier transform algorithm ⋮ Ridgelet transform for quarternion-valued functions ⋮ Quaternionic continuous wavelet transform on a quaternionic Hilbert space ⋮ Linear canonical wavelet transform in quaternion domains ⋮ Quaternionic Stockwell transform ⋮ Two-dimensional quaternion linear canonical transform: properties, convolution, correlation, and uncertainty principle ⋮ On Heisenberg and local uncertainty principles for the multivariate continuous quaternion shearlet transform

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