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math.RA2013★ 24 cited
OPS-QFTs: A new type of quaternion Fourier transforms based on the orthogonal planes split with one or two general pure quaternions
Eckhard Hitzer
We explain the orthogonal planes split (OPS) of quaternions based on the arbitrary choice of one or two linearly independent pure unit quaternions . Next we systematically gen…
math.RA2013★ 1 cited
Real Clifford Algebra Cl(n,0), n=2,3(mod 4) Wavelet Transform
Eckhard Hitzer
We show how for continuous Clifford (geometric) algebra (GA) -valued admissible wavelets can be constructed using the similitude group . We strictly…