On the generalization of Forelli’s theorem

Jae Cheon Joo; Kang Tae Kim; Gerd Schmalz

doi:10.1007/s00208-015-1277-x

On the generalization of Forelli’s theorem

Jae Cheon Joo
, Kang Tae Kim
, Gerd Schmalz^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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: (i) C^∞ smooth at a point, and (ii) holomorphic along the complex integral curves generated by a contracting holomorphic vector field with an isolated zero at the same point.

Original language	English
Pages (from-to)	1187-1200
Number of pages	14
Journal	Mathematische Annalen
Volume	365
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-015-1277-x
State	Published - 1 Aug 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.

Keywords

Complex-analyticity
Forelli’s theorem
Vector field

ASJC Scopus subject areas

General Mathematics

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10.1007/s00208-015-1277-x

Cite this

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title = "On the generalization of Forelli{\textquoteright}s theorem",

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{\textquoteright}s theorem on the complex analyticity of the functions that are: (i) C∞ smooth at a point, and (ii) holomorphic along the complex integral curves generated by a contracting holomorphic vector field with an isolated zero at the same point.",

keywords = "Complex-analyticity, Forelli{\textquoteright}s theorem, Vector field",

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doi = "10.1007/s00208-015-1277-x",

language = "English",

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AU - Schmalz, Gerd

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AB - 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: (i) C∞ smooth at a point, and (ii) holomorphic along the complex integral curves generated by a contracting holomorphic vector field with an isolated zero at the same point.

KW - Complex-analyticity

KW - Forelli’s theorem

KW - Vector field

UR - https://www.scopus.com/pages/publications/84939228275

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On the generalization of Forelli’s theorem

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this