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Which sets are removable for holomorphic functions?
Prove analyticity by Morera’s theorem

Let $f$ be a continuous complex-valued function on $\mathbb{C}$ such that it is analytic everywhere outside $[-a,a] \subset \mathbb{R}$. Show that it is in fact entire.

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    Link: http://math.stackexchange.com/questions/159659/which-sets-are-removable-for-holomorphic-functions2012-09-26

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