Regularity of generalized Daubechies wavelets reproducing exponential polynomials
Numerical Analysis
2012-10-31 v1 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.1210.7938,
title = {Regularity of generalized Daubechies wavelets reproducing exponential polynomials},
author = {N. Dyn and O. Kounchev and D. Levin and H. Render},
journal= {arXiv preprint arXiv:1210.7938},
year = {2012}
}