R. Bujack et al: Demystification of the geometric Fourier transforms

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.

Source: http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4825543, http://vixra.org/abs/1310.0255


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