On the Clifford-Fourier transform

Details On the Clifford-Fourier transform On the Clifford-Fourier transform

2010-03-02

arxiv.org/abs/1003.0689v2

Mathematics

Classical Analysis and ODEs

Some small changes, 30 pages, accepted for publication in IMRN

Scientific paper

For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on $R^m$ defined with a kernel function $K(x,y) := e^{\frac{i \pi}{2} \Gamma_{y}}e^{-i }$, replacing the kernel $e^{i }$ of the ordinary Fourier transform, where $\Gamma_{y} := - \sum_{j

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