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arxiv: 1306.2185 · v1 · pith:ZG36MO24new · submitted 2013-06-10 · 🧮 math.AG

A General Geometric Fourier Transform Convolution Theorem

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keywords fouriergeometrictheoremconvolutiongeneraltransformadditionallyalgebras
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The large variety of Fourier transforms in geometric algebras inspired the straight forward definition of ``A General Geometric Fourier Transform`` in Bujack et al., Proc. of ICCA9, covering most versions in the literature. We showed which constraints are additionally necessary to obtain certain features like linearity, a scaling, or a shift theorem. In this paper we extend the former results by a convolution theorem.

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