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arxiv: 1401.2050 · v1 · pith:ROSXLWGCnew · submitted 2014-01-09 · 🧮 math.CV

Parametric argument principle and its applications to CR functions and manifolds

classification 🧮 math.CV
keywords applicationsargumentfunctionsmanifoldsmathbbprinciplerealcharacterization
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A version of the argument principle is established for varieties of holomorphic mappings from the unit disc to $\mathbb C^n,$ parametrized by points of real manifolds. Applications to characterization of CR functions and estimating CR dimensions of real submanifolds in $\mathbb C^n$ are given.

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