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arXiv · 1401.2050

Parametric argument principle and its applications to CR functions and manifolds

Mark Agranovsky
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Abstract

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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Mark Agranovsky. 2014-01-09. Parametric argument principle and its applications to CR functions and manifolds. https://arxiv.org/abs/1401.2050

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