On the approximation of functions on a Hodge manifold
classification
🧮 math.DG
keywords
functionshodgemanifoldsmoothalgebraicapproximantsapproximationberezin-toeplitz
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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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