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

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Holomorphic image of a strip in complex plane

I think the easiest argument is using Rouché's theorem, which is itself proved using the argument principle. Let $a \in S_{\sigma-3\delta}$, let $K \subset S_{\sigma-2\delta}$ be the circle about $a$ …
jordanbell2357's user avatar
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Holomorphic image of a strip in complex plane

I'm reading a proof of Arnold's theorem about analytic linearization of analytic circle diffeomorphisms. The following result is used in the proof and I don't see why it should be true. Let $S_\sigma …
jordanbell2357's user avatar