The Clifford-Fourier transform $\mathcal{F}_O$ and monogenic extensions
Functional Analysis
2014-05-27 v1
Abstract
Several versions of the Fourier transform have been formulated in the framework of Clifford algebra. We present a (Clifford-Fourier) transform, constructed using the geometric properties of Clifford algebra. We show the corresponding results of operational calculus. We obtain a technique to construct monogenic extensions of a certain type of continuous functions, and versions of the Paley-Wiener theorems are formulated.
Keywords
Cite
@article{arxiv.1405.6398,
title = {The Clifford-Fourier transform $\mathcal{F}_O$ and monogenic extensions},
author = {Arnoldo Bezanilla Lopez and Omar Leon Sanchez},
journal= {arXiv preprint arXiv:1405.6398},
year = {2014}
}