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Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.

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Analog of Newlander–Nirenberg theorem for real analytic manifolds

I think this question can be addressed in a few ways. Two great answers have already been given: Real analytic is a regularity condition, while holomorphic is more algebraic, so you'd need a somewh …
Brian Street's user avatar