Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters

We investigate non-stationary orthogonal wavelets based on a non-stationary
interpolatory subdivision scheme reproducing a given set of exponentials with real-valued
parameters. The construction is analogous to the construction of Daubechies wavelets
using the subdivision scheme of Deslauriers-Dubuc. The main result is the existence and
smoothness of these Daubechies type wavelets.