  The purpose of this paper is to characterize the homogeneous Besov space in
the Dunkl setting. We utilize a new discrete reproducing formula, that is, the
building blocks are differences of the Dunkl-Poisson kernel which involves both
the Euclidean metric and the Dunkl metric. To introduce the Besov spaces in the
Dunkl setting, new test functions and distributions are introduced, and a new
decomposition is established.
