Explicit formulas for the Dunkl dihedral kernel and the $(\kappa ,a)$-generalized Fourier kernel

Denis Constales, Hendrik De Bie, Pan Lian

In this paper, a new method is developed to obtain explicit and integral expressions for the kernel of the $(\kappa ,a)$-generalized Fourier transform for $\kappa =0$. In the case of dihedral…