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.
Ghigi, A. (2012). On the approximation of functions on a Hodge manifold. ANNALES DE LA FACULTÉ DES SCIENCES DE TOULOUSE., XXI(4), 769-781 [10.5802/afst.1350].
On the approximation of functions on a Hodge manifold
GHIGI, ALESSANDRO CALLISTO
2012
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.
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