R. Bujack, G. Scheuermann, E. Hitzer
A General Geometric Fourier Transform Convolution Theorem
submitted to Adv. Appl. Clifford Alg., (2012).

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.

Keywords: Fourier transform, geometric algebra, Clifford algebra, convolution, coorthogonal, geometric trigonometric transform.

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