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arXiv · 0708.3449

On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N

Alexander Brudnyi
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Abstract

In this paper we establish some general results on local behavior of holomorphic functions along complex submanifolds of $\Co^{N}$. As a corollary, we present multi-dimensional generalizations of an important result of Coman and Poletsky on Bernstein type inequalities on transcendental curves in $\Co^{2}$.

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Alexander Brudnyi. 2007-12-28. On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N. https://doi.org/10.1007/s00222-008-0120-3

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