On the generalization of Forelli's theorem

DOI10.1007/S00208-015-1277-XzbMath1361.32003arXiv1402.6390OpenAlexW2593783813MaRDI QIDQ303603

Kang-Tae Kim, Jae-Cheon Joo, Gerd Schmalz

Publication date: 22 August 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6390

zbMATH Keywords

vector fieldscomplex-analyticityForelli's theorem

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Power series, series of functions of several complex variables (32A05) Holomorphic functions of several complex variables (32A10) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (9)

Holomorphic continuation of a formal series along analytic curves ⋮ Foliations of continuous q-pseudoconcave graphs ⋮ Unnamed Item ⋮ A new plurisubharmonic capacity and functions holomorphic along holomorphic vector fields ⋮ Localization of Forelli's theorem ⋮ Holomorphic continuation of functions along a fixed direction (survey) ⋮ On a theorem of F. Forelli and a result of Hartogs ⋮ Functions holomorphic along a \(C^1\) pencil of holomorphic discs ⋮ Forelli type theorem in harmonic map forms

Cites Work

• The geometry of complex domains
• A generalization of Forelli's theorem
• Functions holomorphic along holomorphic vector fields
• Variations of Hartogs' theorem
• Local Contractions and a Theorem of Poincare
• Pluriharmonicity in terms of harmonic slices.
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