Abstract
A pair of Clifford-Fourier transforms is defined in the framework of Clifford analysis, as operator exponentials with a Clifford algebra-valued kernel. It is a genuine Clifford analysis construct, which is shown to be a refinement of the classical multi-dimensional Fourier transform. An adequate operational calculus is developed.
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Brackx, F., De Schepper, N. & Sommen, F. The Clifford-Fourier Transform. J Fourier Anal Appl 11, 669–681 (2005). https://doi.org/10.1007/s00041-005-4079-9
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DOI: https://doi.org/10.1007/s00041-005-4079-9