Connections and propagation of analyticity for \(CR\) functions
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Publication:1325150
DOI10.1215/S0012-7094-94-07301-8zbMath0801.32005OpenAlexW2029283756MaRDI QIDQ1325150
Publication date: 21 November 1994
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07301-8
Related Items (22)
METRICALLY THIN SINGULARITIES OF INTEGRABLE CR FUNCTIONS ⋮ A note on the closed range of \({\bar{\partial}}_b\) on \(q\)-convex manifolds ⋮ Analytic discs in conormal bundles to real submanifolds of \(\mathbb C^n\) ⋮ Analytic discs attached to conormal bundles of CR-manifolds ⋮ Hypersurfaces through higher-codimensional submanifolds of \(\mathbb{C}^n\) with preserved Levi-kernel ⋮ Deformation of CR-manifolds, minimal points and CR-manifolds with the microlocal analytic extension property ⋮ Analytic discs attached to manifolds with boundary ⋮ The range of the tangential Cauchy-Riemann system to a CR embedded manifold ⋮ L2-Sobolev theory for the complex Green operator ⋮ Totally real discs in non-pseudoconvex boundaries ⋮ Differentiable CR mappings and CR orbits ⋮ Extremal discs and holomorphic extension from convex hypersurfaces ⋮ Sobolev estimates for the complex Green operator on CR submanifolds of hypersurface type ⋮ Propagation of CR extendibility at the vertex of a complex sector ⋮ Local geometry of Levi-forms associated with the existence of complex submanifolds and the minimality of generic CR manifolds ⋮ Propagation of analyticity for essentially finite \(\mathcal C^\infty\)-smooth CR mappings ⋮ Extension of CR-functions into weighted wedges through families of nonsmooth analytic discs ⋮ Separate holomorphic extension of CR functions ⋮ Boundaries of singularity sets, removable singularities, and CR-invariant subsets of CR-manifolds ⋮ On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle ⋮ Tangent discs and extension of CR functions to wedges of \({\mathbb C}^n\) ⋮ Study of the analytic regularity of formal CR reflection mappings
Cites Work
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- Propagation of analyticity for a class of non-micro-characteristic operators
- Cauchy-Riemann functions on manifolds of higher codimension in complex space
- A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
- Propagation of holomorphic extendability of CR functions
- EXTENSION OF CR FUNCTIONS INTO A WEDGE FROM A MANIFOLD OF FINITE TYPE
- EXTENSION OF CR-FUNCTIONS FROM PIECEWISE SMOOTH CR-MANIFOLDS
- Sur la propagation des singularités dans les variétés CR
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