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

DOI10.1007/s11565-012-0163-7zbMath1300.32035OpenAlexW1963921506MaRDI QIDQ467113

Sorin Dragomir, Seiki Nishikawa

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-012-0163-7

zbMATH Keywords

approximation of CR functionsCR functions with values in a Fréchet spaceextension of CR functionstangential Cauchy-Riemann operator

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Extension of functions and other analytic objects from CR manifolds (32V25) CR functions (32V10)

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Cites Work

• On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables
• An example of a smooth linear partial differential equation without solution
• The range of the tangential Cauchy-Riemann operator
• Sub-Riemannian geometry
• Partial differential equations. 4th ed
• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• CR approximation on a nonrigid hypersurface graph in \(\mathbb{C}^n\)
• Differential geometry and analysis on CR manifolds
• Holomorphic extension of CR functions, envelopes of holomorphy, and removable singularities
• Global approximation of CR functions on Bloom-Graham model graphs in ℂⁿ
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