The role of Fourier modes in extension theorems of Hartogs-Chirka type

DOI10.1007/s00209-004-0742-0zbMath1073.32003arXivmath/0405077OpenAlexW2003922376MaRDI QIDQ1772009

David E. Barrett, Gautam Bharali

Publication date: 14 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0405077

zbMATH Keywords

Fourier modesextension of holomorphic functionsChirka's theorem

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15)

Related Items

Two extension theorems of Hartogs-Chirka type involving continuous multifunctions ⋮ A simple Kontinuitätssatz ⋮ Some remarks on Hartogs’ extension lemma

Cites Work

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• A counterexample related to Hartogs' phenomenon (a question by E. Chirka)
• Some generalizations of Chirka’s extension theorem
• Deformations of non-compact complex curves and envelopes of meromorphy of spheres
• Remarks on the proof of a generalized Hartogs Lemma
• Uniform Approximation on Compact Sets in $\mathsf{C}^n$.

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