Abstract
We consider the continuous wavelet transform Phi(w)(h) associated with the Heckman-Opdam operators on R-d . We analyse the concentration of this transform on sets of finite measure. In particular, Donoho-Stark and Benedicks-type uncertainty principles are given. Next, we prove many versions of Heisenberg-type uncertainty principles for Phi(w)(h) . Finally, we investigate the localization operators for Phi(w)(h) , in particular we prove that they are in the Schatten-von Neumann class.