On the approximation of functions on a Hodge manifold

Details On the approximation of functions on a Hodge manifold On the approximation of functions on a Hodge manifold

2010-10-17

arxiv.org/abs/1010.3439v2

Mathematics

Differential Geometry

Small corrections. Some remarks added

Scientific paper

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.

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