On the approximation of functions on a Hodge manifold
Differential Geometry
2010-11-23 v2
Abstract
If f is a smooth function on a Hodge manifold, we construct a canonical sequence of real algebraic functions that converge to f in the smooth topology. The definition of of the approximants is inspired by Berezin-Toeplitz quantization. The proof follows quickly from known results of Fine, Liu and Ma.
Keywords
Cite
@article{arxiv.1010.3439,
title = {On the approximation of functions on a Hodge manifold},
author = {Alessandro Ghigi},
journal= {arXiv preprint arXiv:1010.3439},
year = {2010}
}
Comments
Small corrections. Some remarks added