Journal Title
Title of Journal: Adv Comput Math
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Abbravation: Advances in Computational Mathematics
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Authors: Costanza Conti Mariantonia Cotronei Tomas Sauer
Publish Date: 2016/02/06
Volume: 42, Issue: 5, Pages: 1055-1079
Abstract
In this paper we focus on Hermite subdivision operators that act on vector valued data interpreting their components as function values and associated consecutive derivatives We are mainly interested in studying the exponential and polynomial preservation capability of such kind of operators which can be expressed in terms of a generalization of the spectral condition property in the spaces generated by polynomials and exponential functions The main tool for our investigation are convolution operators that annihilate the aforementioned spaces 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
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