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arXiv · 2010.08969

Functions holomorphic along a $C^1$ pencil of holomorphic discs

Ye-Won Luke Cho·Kang-Tae Kim
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Abstract

The main purpose of this article is to present a generalization of Forelli's theorem for the functions holomorphic along a general pencil of holomorphic discs. This generalizes the main result of \cite{JKS13} and the original Forelli's theorem, and furthermore, answers one of the problems posed in \cite{Chirka06}.

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Ye-Won Luke Cho, Kang-Tae Kim. 2020-10-18. Functions holomorphic along a $C^1$ pencil of holomorphic discs. https://arxiv.org/abs/2010.08969

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