# E. Hitzer: The Quest for Conformal Geometric Algebra Fourier Transformations

Eckhard Hitzer, 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

Abstract:

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