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arXiv · 1306.2185

A General Geometric Fourier Transform Convolution Theorem

Roxana Bujack·Gerik Scheuermann·Eckhard Hitzer
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Abstract

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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Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer. 2013-06-10. A General Geometric Fourier Transform Convolution Theorem. https://doi.org/10.1007/s00006-012-0338-4

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