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The fractional Clifford-Fourier transform
In this paper, a fractional version of the Clifford-Fourier transform is
introduced, depending on two numerical parameters. A series expansion for the
kernel of the resulting integral transform is derived. In the case of even
dimension, also an explicit expression for the kernel in terms of Bessel
functions is obtained. Finally, the analytic properties of this new integral
transform are studied in detail.Comment: 17 pages, accepted for publication in Complex Anal. Oper. T
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