G. Scheuermann, E. Hitzer
A General Geometric Fourier Transform Convolution Theorem
submitted to Adv. Appl. Clifford Alg., (2012).
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.
Keywords: Fourier transform, geometric algebra, Clifford algebra, convolution, coorthogonal, geometric trigonometric transform.
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