  We study analytic aspects of the Dunkl-type Hankel transform, which goes back
to Baker and Forrester and, in an earlier symmetrized version, to Macdonald.
Moreover, we introduce a Dunkl analogue of the Bessel function and K-Bessel
function generalizing those of a symmetric cone. Further, we take a look at
zeta integrals and their distributional extensions in the Dunkl setting. These
distributions are closely related to Dunkl-type Riesz distributions. Further,
we study regularity properties of the zeta distributions and prove a functional
equation relating zeta distributions and their Dunkl transform.
