The Clifford-Fourier Transform {\mathcal {F}_o} and Monogenic Extensions |
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Authors: | Arnoldo Bezanilla L��pez Omar Le��n S��nchez |
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Institution: | 1. Benem??rita Universidad Aut??noma de Puebla, 72570, Puebla, M??xico 2. University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada
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Abstract: | In the last decade 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, and a connection between the Fourier transform and this new transform. 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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Keywords: | |
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