A General Geometric Fourier Transform Convolution Theorem
Algebraic Geometry
2013-06-11 v1
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.
Cite
@article{arxiv.1306.2185,
title = {A General Geometric Fourier Transform Convolution Theorem},
author = {Roxana Bujack and Gerik Scheuermann and Eckhard Hitzer},
journal= {arXiv preprint arXiv:1306.2185},
year = {2013}
}