Roxana Bujack, Gerik Scheuermann and Eckhard Hitzer, In T. Simos, G. Psihoyios and C. Tsitouras (eds.), Numerical Analysis and Applied Mathematics ICNAAM 2013, AIP Conf. Proc. 1558, pp. 525-528 (2013). http://dx.doi.org/10.1063/1.4825543, Free preprint (PDF): http://vixra.org/abs/1310.0255
As it will turn out in this paper, the recent hype about most of the Clifford Fourier transforms is not thoroughly worth the pain. Almost every one that has a real application is separable and these transforms can be decomposed into a sum of real valued transforms with constant multivector factors. This fact makes their interpretation, their analysis, and their implementation almost trivial.
Keywords: geometric algebra, Clifford algebra, Fourier transform, trigonometric transform, convolution theorem.