The geometric reflection principle in several complex variables: a survey
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Publication:3625384
DOI10.1080/17476930902759379zbMath1171.32010OpenAlexW2050938634MaRDI QIDQ3625384
Klas Diederich, Sergey Pinchuk
Publication date: 12 May 2009
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476930902759379
holomorphic extensionproper holomorphic mapreflection principlereal-analytic boundarynon-pseudoconvex domains
Related Items (6)
Critical sets of proper holomorphic mappings ⋮ Some aspects of holomorphic mappings: a survey ⋮ Levi-flat world: a survey of local theory ⋮ Reflection principle for the complex Monge-Ampère equation and plurisubharmonic functions ⋮ Dicritical singularities and laminar currents on Levi-flat hypersurfaces ⋮ Extension of CR maps between real-analytic hypersurfaces of different dimensions
Cites Work
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- Germs of CR maps between real analytic hypersurfaces
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- A reflection principle for degenerate real hypersurfaces
- Polynomially convex hulls and analyticity
- On the mapping problem for algebraic real hypersurfaces
- Pseudoconvex domains with real-analytic boundary
- Proper holomorphic maps onto pseudoconvex domains with real-analytic boundary
- Idempotents of Fourier multiplier algebra
- Regularity of continuous CR maps in arbitrary dimension.
- Analytic continuation of germs of holomorphic mappings between real hypersurfaces in \({\mathbb{C}}^n\)
- Analytic sets and the boundary regularity of CR mappings
- Schwarz reflection principle in complex spaces of dimension two
- Convergence and finite determination of formal CR mappings
- Proper holomorphic maps in dimension 2 extend
- Boundary regularity of proper holomorphic mappings
- Boundary regularity of proper holomorphic mappings
- Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces
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