Hermite subdivision schemes, exponential polynomial generation, and annihilators
Numerical Analysis
2013-12-09 v1
Abstract
We consider the question when the so--called spectral condition} for Hermite subdivision schemes extends to spaces generated by polynomials and exponential functions. The main tool are convolution operators that annihilate the space in question which apparently is a general concept in the study of various types of subdivision operators. Based on these annihilators, we characterize the spectral condition in terms of factorization of the subdivision operator.
Keywords
Cite
@article{arxiv.1312.1776,
title = {Hermite subdivision schemes, exponential polynomial generation, and annihilators},
author = {Costanza Conti and Mariantonia Cotronei and Tomas Sauer},
journal= {arXiv preprint arXiv:1312.1776},
year = {2013}
}