On the generalization of Forelli's theorem

2014/02/26 by Jae-Cheon Joo, Joo, Jae-Cheon, Kang-Tae Kim +3
Mathematics · #32A05 #32A10 #32M25 #32S65 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32A05 #msc:32A10 #msc:32M25 #msc:32S65

paper · pdf · doi:10.48550/arxiv.1402.6390

11 pages

arxiv created 2014/02/26 · arxiv updated 2014/02/27

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) C^∞ 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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