%0 Journal Article %T Hermite subdivision schemes, exponential polynomial generation, and annihilators %A Costanza Conti %A Mariantonia Cotronei %A Tomas Sauer %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1312.1776v1