学术活动

学术活动

On the generalization of Forelli’s theorem

主讲人:Prof. Kang-Tae Kim(The Center of Geometry and its applications, POSTECH)

时  间:2014年4月23日(周三)15:30-16:30

地  点:必赢76net线路官网北二区教学楼 130 教室

摘  要:Regarding to the complex analyticity of a functions with several complex variables, best known is the theorem of Hartogs. Then the second comes, as many agree, the theorem of Forelli, published in 1977. (Also by Stoll in 1980). It appears that Forelli’s theorem is a “complex polar coordinate version” of Hartogs. However as many aspects of Several Complex Variables, there are many surprises and subtleties. Then it was believed to be impossible, by experts, to generalize Forelli’s theorem. After almost 35 years, several generalizations emerged, by Chirka (2005/2006), Kim-Poletsky-Schmalz (2008), Joo-Kim-Schmalz (2013, 2014), and the generalization is reasonably complete. I shall survey all these developments in the talk.

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