The kernel of the generalized Clifford-Fourier transform and its   generating function
  In this paper, we study the generalized Clifford-Fourier transform introduced in [6] using the Laplace transform technique. We give explicit expressions in the even dimensional case, we obtain polynomial bounds for the kernel functions and establish a generating function. 
Pan Lian, Gejun Bao, Hendrik De Bie, Denis Constales
math.CA