The Dunkl kernel and intertwining operator for dihedral groups

Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists unique linear operator called intertwining which intertwines between this and the standard differential also generalization Fourier transform in context transform. In paper, we determine an integral expression for kernel, is kernel transform, all dihedral groups. We case groups, based on observations valid As special case, recover result Xu (2019) [36] . Crucial our approach systematic use link both kernels simplex suitable high dimensional space.