NAOct 30, 2012
Regularity of generalized Daubechies wavelets reproducing exponential polynomialsN. Dyn, O. Kounchev, D. Levin et al.
We investigate non-stationary orthogonal wavelets based on a non-stationary interpolatory subdivision scheme reproducing a given set of exponentials. The construction is analogous to the construction of Daubechies wavelets using the subdivision scheme of Deslauriers-Dubuc. The main result is the smoothness of these Daubechies type wavelets.