The kernel of the generalized Clifford-Fourier transform and its generating function

2016/02/29 by Lian, Pan, Bao, Gejun, De Bie, Hendrik +1
#15A66 #30G35 #42B10 #44A10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1602.08996

Abstract

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.

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