Hartogs extension for generalized tubes in \(\mathbb C^n\)

DOI10.1016/j.jmaa.2013.01.049zbMath1432.32007OpenAlexW1999513812MaRDI QIDQ1947320

Zbigniew Slodkowski, Roman J. Dwilewicz, Albert Boggess

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.049

zbMATH Keywords

holomorphic functionsCR functionsHartogs-type extension

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) CR functions (32V10)

Related Items

On the Hartogs extension theorem for unbounded domains in \(\mathbb{C}^n\) ⋮ Hartogs-type extension for tube-like domains in \(\mathbb C^2\) ⋮ \(\bar{\partial}\)-problem in fiber bundles for decreasing \((0,1)\)-forms

Cites Work

• Fundamental solutions in complex analysis. I. The Cauchy Riemann operator
• Fundamental solutions in complex analysis. II. The induced Cauchy Riemann operator
• A Morse-theoretical proof of the Hartogs extension theorem
• Holomorphic extension of CR functions, envelopes of holomorphy, and removable singularities
• The holomorphic extension of 𝐻^{𝑝}-CR functions on tube submanifolds
• Extension and approximation of CR functions on tube manifolds
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