On the Clifford-Fourier Transform
Copyright policy )On the Clifford-Fourier Transform
For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on $R^m$ defined with a kernel function $K(x,y) := e^{\frac{i ��}{2} ��_{y}}e^{-i }$, replacing the kernel $e^{i }$ of the ordinary Fourier transform, where $��_{y} := - \sum_{j
Some small changes, 30 pages, accepted for publication in IMRN
- Ghent University Belgium
- University of Oregon United States
REPRESENTATION, Mathematics and Statistics, Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, 30G35, 42B10, Fourier transform, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV), Clifford analysis
REPRESENTATION, Mathematics and Statistics, Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, 30G35, 42B10, Fourier transform, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV), Clifford analysis
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