English

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

Classical Analysis and ODEs 2016-11-02 v1

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.

Keywords

Cite

@article{arxiv.1602.08996,
  title  = {The kernel of the generalized Clifford-Fourier transform and its generating function},
  author = {Pan Lian and Gejun Bao and Hendrik De Bie and Denis Constales},
  journal= {arXiv preprint arXiv:1602.08996},
  year   = {2016}
}
R2 v1 2026-06-22T12:59:57.996Z