Functions and Analysis

    

The Quest for Conformal Geometric Algebra Fourier Transformations

Authors: Eckhard Hitzer

Conformal geometric algebra is preferred in many applications. Clifford Fourier transforms (CFT) allow holistic signal processing of (multi) vector fields, different from marginal (channel wise) processing: Flow fields, color fields, electromagnetic fields, ... The Clifford algebra sets (manifolds) of $\sqrt{-1}$ lead to continuous manifolds of CFTs. A frequently asked question is: What does a Clifford Fourier transform of conformal geometric algebra look like? We try to give a first answer.
Keywords: Clifford geometric algebra, Clifford Fourier transform, conformal geometric algebra, horosphere.
AMS Subj. Class. 15A66, 42A38

Comments: 4 Pages. In T. Simos, G. Psihoyios and C. Tsitouras (eds.), Numerical Analysis and Applied Mathematics ICNAAM 2013, AIP Conf. Proc. 1558, pp. 30-33 (2013). DOI: 10.1063/1.4825413

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[v1] 2013-10-29 03:33:41

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