On the generalization of Forelli's theorem

Jae-Cheon Joo; Kang-Tae Kim; Gerd Schmalz

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arXiv · 1402.6390

On the generalization of Forelli's theorem

Jae-Cheon Joo·Kang-Tae Kim·Gerd Schmalz

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Abstract

The purpose of this paper is to present a solution to perhaps the final remaining case in the line of study concerning the generalization of Forelli's theorem on the complex analyticity of the functions that are: (1) $\mathcal{C}^\infty$ smooth at a point, and (2) holomorphic along the complex integral curves generated by a contracting holomorphic vector field with an isolated zero at the same point.

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Jae-Cheon Joo, Kang-Tae Kim, Gerd Schmalz. 2014-02-26. On the generalization of Forelli's theorem. https://arxiv.org/abs/1402.6390

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