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arxiv: 1306.1679 · v1 · pith:4MZVDYAYnew · submitted 2013-06-07 · 🧮 math.RA · cs.CV

Clifford Fourier-Mellin transform with two real square roots of -1 in Cl(p,q), p+q=2

classification 🧮 math.RA cs.CV
keywords algebracliffordfourierfourier-mellintransformtransformsanalysiscomplex
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We describe a non-commutative generalization of the complex Fourier-Mellin transform to Clifford algebra valued signal functions over the domain $\R^{p,q}$ taking values in Cl(p,q), p+q=2. Keywords: algebra, Fourier transforms; Logic, set theory, and algebra, Fourier analysis, Integral transforms

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