Level-dependent interpolatory Hermite subdivision schemes and wavelets
Numerical Analysis
2018-01-11 v1
Abstract
We study many properties of level-dependent Hermite subdivision, focusing on schemes preserving polynomial and exponential data. We specifically consider interpolatory schemes, which give rise to level-dependent multiresolution analyses through a prediction-correction approach. A result on the decay of the associated multiwavelet coefficients, corresponding to a uniformly continuous and differentiable function, is derived. It makes use of the approximation of any such function with a generalized Taylor formula expressed in terms of polynomials and exponentials.
Cite
@article{arxiv.1801.03123,
title = {Level-dependent interpolatory Hermite subdivision schemes and wavelets},
author = {Mariantonia Cotronei and Caroline Moosmüller and Tomas Sauer and Nada Sissouno},
journal= {arXiv preprint arXiv:1801.03123},
year = {2018}
}