On an observation of Sibony
classification
🧮 math.CV
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boundarydomainorigincontainsdifferentiableextendsfunctionholomorphic
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It is shown that if the boundary of a Reinhardt domain in $\mathbb{C}^n$ contains the origin, each holomorphic function on the domain which is infinitely many times differentiable up to the boundary extends holomorphically to a neighborhood of the origin.
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