A note on Hermite multiwavelets with polynomial and exponential vanishing moments
Numerical Analysis
2017-07-11 v1
Abstract
The aim of the paper is to present Hermite-type multiwavelets satisfying the vanishing moment property with respect to elements in the space spanned by exponentials and polynomials. Such functions satisfy a two-scale relation which is level-dependent as well as the corresponding multiresolution analysis. An important feature of the associated filters is the possibility of factorizing their symbols in terms of the so-called cancellation operator. A family of biorthogonal multiwavelet system possessing the above property and obtained from a Hermite subdivision scheme reproducing polynomial and exponential data is finally introduced.
Cite
@article{arxiv.1702.01007,
title = {A note on Hermite multiwavelets with polynomial and exponential vanishing moments},
author = {Mariantonia Cotronei and Nada Sissouno},
journal= {arXiv preprint arXiv:1702.01007},
year = {2017}
}