Bujack et al: Demystification of the Geometric Fourier Transforms and resulting Convolution Theorems


Bujack, E. H., G. Scheuermann, Demystification of the Geometric Fourier Transforms and resulting Convolution Theorems, Mathematical Methods in the Applied Sciences, Article first published online: 3 Sep. 2015. DOI: 10.1002/mma.3607.

Abstract: 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 everyone that has a real application is separable, and these transforms can be decomposed into a sum of real valued transforms with constant multivecor 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://onlinelibrary.wiley.com/doi/10.1002/mma.3607/abstract

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