Local polynomial convexity at an isolated singularity suffices for Carleman approximation on unions of transverse totally real subspaces, with additional conditions for three planes in C^2 and Lipschitz graphs.
Analyse Math.29(1976), 16–
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Carleman Approximation for certain sets with an isolated singularity
Local polynomial convexity at an isolated singularity suffices for Carleman approximation on unions of transverse totally real subspaces, with additional conditions for three planes in C^2 and Lipschitz graphs.