Global approximation of CR functions on Bloom-Graham model graphs in ℂⁿ

DOI10.1090/S0002-9939-05-08227-4zbMath1095.32013arXivmath/0409120MaRDI QIDQ5713193

Albert Boggess, Daniel Jupiter

Publication date: 12 December 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409120

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Extension of functions and other analytic objects from CR manifolds (32V25) CR functions (32V10)

Related Items (1)

Baouendi-Trèves approximation theorem for CR functions with values in a complex Fréchet space

Cites Work

• CR extension for \(L^ p\) CR functions on a quadric submanifold of \(\mathbb C^ n\).
• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• Approximation theory on totally real submanifolds
• On `type' conditions for generic real submanifolds of \(\mathbb{C}^n\)
• CR approximation on a nonrigid hypersurface graph in \(\mathbb{C}^n\)
• Global holomorphic approximations of CR functions on CR manifolds

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