DOI 10.1007/978-3-0348-0603-9_7 zbMath 1273.15025 arXiv 1204.4576 OpenAlex W1650971047 MaRDI QID Q2847058
Jacques Helmstetter , Rafał Abłamowicz , Eckhard M. S. Hitzer
Publication date : 4 September 2013
Published in : Quaternion and Clifford Fourier Transforms and Wavelets (Search for Journal in Brave )
Full work available at URL : https://arxiv.org/abs/1204.4576
General two-sided quaternion Fourier transform, convolution and mustard convolution ⋮
The \(E_8\) geometry from a Clifford perspective ⋮
Quaternionic Wiener-Khinchine theorems and spectral representation of convolution with steerable two-sided quaternion Fourier transform ⋮
On factorization of multivectors in Cl (3,0), Cl (1,2) and Cl (0,3), by exponentials and idempotents ⋮
Applications of Clifford's geometric algebra ⋮
Biquaternion extensions of analytic functions ⋮
Abilov's estimates for the Clifford-Fourier transform in real Clifford algebras analysis ⋮
On harmonic analysis of vector‐valued signals ⋮
On factorization of multivectors in Cl(2,1)$$ Cl\left(2,1\right) $$, by exponentials and idempotents ⋮
General steerable two-sided Clifford Fourier transform, convolution and mustard convolution ⋮
Benedicks-Amrein-Berthier type theorem and local uncertainty principles in Clifford algebras ⋮
Two-sided Clifford wavelet function in \(Cl(p, q)\) ⋮
Heisenberg's and Hardy's uncertainty principles for special relativistic space-time Fourier transformation ⋮
Complex and hypercomplex discrete Fourier transforms based on matrix exponential form of Euler's formula ⋮
Quantum mass-spacetimes -- a Clifford and Lie algebraic approach ⋮
Convolution products for hypercomplex Fourier transforms ⋮
From the Trinity ( A 3 , B 3 , H 3 ) to an ADE correspondence ⋮
Demystification of the geometric Fourier transforms and resulting convolution theorems ⋮
Two-sided Clifford Fourier transform with two square roots of \(-1\) in \(Cl(p,q)\) ⋮
On parallelizing the Clifford algebra product for \texttt{CLIFFORD} ⋮
A General Geometric Fourier Transform
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