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On the Clifford-Fourier Transform

On the Clifford-Fourier Transform

For functions that take values in the Clifford algebra, we study the Clifford–Fourier transform on defined with a kernel function ⁠, replacing the kernel of the ordinary Fourier transform, where ⁠. An explicit formula of K(x,y) is derived, which can be further simplified to a finite sum of Bessel functions …