A generalization of Forelli's theorem

DOI10.1007/S00208-012-0822-0zbMath1268.32003arXiv1109.2987OpenAlexW1978690588MaRDI QIDQ1945152

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

Publication date: 3 April 2013

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

Full work available at URL: https://arxiv.org/abs/1109.2987

zbMATH Keywords

foliationholomorphic functionForelli theorem

Mathematics Subject Classification ID

Holomorphic functions of several complex variables (32A10)

Related Items (9)

Holomorphic continuation of a formal series along analytic curves ⋮ On the generalization of Forelli's theorem ⋮ Real analyticity of a $C^{\infty }$-germ at the origin ⋮ 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

• Functions holomorphic along holomorphic vector fields
• Variations of Hartogs' theorem
• Pluriharmonicity in terms of harmonic slices.
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