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https://hdl.handle.net/1959.11/19311| Title: | On the generalization of Forelli's theorem | Contributor(s): | Joo, Jae-Cheon (author); Kim, Kang-Tae (author); Schmalz, Gerd (author) |
Publication Date: | 2016 | Open Access: | Yes | DOI: | 10.1007/s00208-015-1277-x |
Handle Link: | https://hdl.handle.net/1959.11/19311 | Open Access Link: | https://arxiv.org/abs/1402.6390 |
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. | Publication Type: | Journal Article | Grant Details: | ARC/DP130103485 | Source of Publication: | Mathematische Annalen, 365(3-4), p. 1187-1200 | Publisher: | Springer | Place of Publication: | Germany | ISSN: | 1432-1807 0025-5831 |
Fields of Research (FoR) 2008: | 010111 Real and Complex Functions (incl. Several Variables) | Fields of Research (FoR) 2020: | 490411 Real and complex functions (incl. several variables) | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Socio-Economic Objective (SEO) 2020: | 280118 Expanding knowledge in the mathematical sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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| Appears in Collections: | Journal Article |
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