On the approximation of functions on a Hodge manifold

Alessandro Ghigi

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arXiv · 1010.3439

On the approximation of functions on a Hodge manifold

Alessandro Ghigi

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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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Alessandro Ghigi. 2010-10-17. On the approximation of functions on a Hodge manifold. https://arxiv.org/abs/1010.3439

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