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CR Runge sets on hypersurface graphs

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Publication:950690
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DOI10.1007/S12220-008-9045-8zbMath1192.32019OpenAlexW2029372622MaRDI QIDQ950690

Daniel Jupiter, Albert Boggess, Roman J. Dwilewicz

Publication date: 27 October 2008

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-008-9045-8


zbMATH Keywords

holomorphic approximationCR functionsCR Runge sets


Mathematics Subject Classification ID

Approximation by polynomials (41A10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) CR functions (32V10)





Cites Work

  • Unnamed Item
  • 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
  • CR approximation on a nonrigid hypersurface graph in \(\mathbb{C}^n\)
  • Holomorphic approximation and hyperfunction theory on a C\(^1\) totally real submanifold of a complex manifold
  • Global holomorphic approximations of CR functions on CR manifolds




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