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arXiv · 1405.6398

The Clifford-Fourier transform $\mathcal{F}_O$ and monogenic extensions

Arnoldo Bezanilla Lopez·Omar Leon Sanchez
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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.

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Arnoldo Bezanilla Lopez, Omar Leon Sanchez. 2014-05-25. The Clifford-Fourier transform $\mathcal{F}_O$ and monogenic extensions. https://arxiv.org/abs/1405.6398

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