ABSTRACT
The English mathematician William Kingdon Clifford introduced in 1878 a general set of algebras, which he called geometric algebras and which are now attached to his name as Clifford algebras. Clifford analysis offers some general context of Fourier one in signal/image processing by applying real, complex and quaternion numbers. Clifford analysis offers a function theory, which is a higher-dimensional analogue of the theory of holomorphic functions in the complex plane, centered around the notion of monogenic functions. Clifford analysis is a refinement of harmonic analysis in higher-dimensional Euclidean spaces. Clifford algebra is characterized by additional facts as it provides a simpler model of mathematical objects compared to vector algebra. Clifford analysis appeared as a generalization of the complex analysis and Hamiltonians.
