CR extension near a point of higher type
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Publication:1063150
DOI10.1215/S0012-7094-85-05206-8zbMath0573.32019OpenAlexW2040215380MaRDI QIDQ1063150
Publication date: 1985
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-85-05206-8
Continuation of analytic objects in several complex variables (32D15) Real submanifolds in complex manifolds (32V40)
Related Items (12)
A characterization of harmonic functions and points of finite and infinite type ⋮ Pseudoholomorphic discs attached to CR-submanifolds of almost complex spaces ⋮ The Hull of Holomorphy of a Nonisotropic Ball in a Real Hypersurface of Finite Type ⋮ CR extension from hypersurfaces of higher type ⋮ Approximation of singular discs for CR extension ⋮ Propagation of CR extendibility at the vertex of a complex sector ⋮ Rays condition and extension of CR functions from manifolds of higher type ⋮ Unnamed Item ⋮ Extension of CR-functions into weighted wedges through families of nonsmooth analytic discs ⋮ Analytic discs and the regularity of CR mappings in higher codimension ⋮ The Holomorphic Extension of CR Functions Near a Point of Higher Type ⋮ Analytic disks with boundaries in a maximal real submanifold of \({\mathbb C}^ 2\)
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
- The extension of CR functions to one side of a submanifold of \({\mathbb{C}}^ n\)
- About the holomorphic extension of CR functions on real hypersurfaces in complex space
- Microlocal hypo-analyticity and extension of CR functions
- A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
- ANALYTIC REPRESENTATION OF $ CR$-FUNCTIONS
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