On the generalization of Forelli's theorem

Title
On the generalization of Forelli's theorem
Publication Date
2016
Author(s)
Joo, Jae-Cheon
Kim, Kang-Tae
Schmalz, Gerd
( author )
OrcID: https://orcid.org/0000-0002-6141-9329
Email: schmalz@une.edu.au
UNE Id une-id:schmalz
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Springer
Place of publication
Germany
DOI
10.1007/s00208-015-1277-x
UNE publication id
une:19507
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.
Link
Citation
Mathematische Annalen, 365(3-4), p. 1187-1200
ISSN
1432-1807
0025-5831
Start page
1187
End page
1200

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