General double-sided orthogonal planes split QFT and wavelet transform on functions and distribution spaces
DOI10.1007/S12215-022-00816-WzbMath1517.42007WikidataQ114221057 ScholiaQ114221057MaRDI QIDQ6161937
M. Elkassimi, Saïd Fahlaoui, Hakim Monaim
Publication date: 28 June 2023
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Plancherel formulaquaternionic Fourier transformorthogonal planes splitquaternionic wavelet transform
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85)
Cites Work
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- The quaternion domain Fourier transform and its properties
- Two-dimensional quaternion wavelet transform
- The quaternion Fourier and wavelet transforms on spaces of functions and distributions
- A variation on uncertainty principle and logarithmic uncertainty principle for continuous quaternion wavelet transforms
- General two-sided quaternion Fourier transform, convolution and mustard convolution
- An uncertainty principle for quaternion Fourier transform
- Quaternion Fourier transform on quaternion fields and generalizations
- Wavelets in a generalized Sobolev space
- The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations
- Continuous quaternion fourier and wavelet transforms
- Hypercomplex Fourier Transforms of Color Images
- Distribution Theory
- Quaternion and Clifford Fourier Transforms
- The quaternionic affine group and related continuous wavelet transforms on complex and quaternionic Hilbert spaces
- Sharp Hausdorff-Young inequalities for the quaternion Fourier transforms
- Quaternions and Reflections
- Directional uncertainty principle for quaternion Fourier transform
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