Propagation of holomorphic extendability of CR functions

DOI10.1007/BF01456878zbMath0494.32004OpenAlexW2091800905MaRDI QIDQ1169069

Nicholas Hanges, François Treves

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163736

zbMATH Keywords

distributionCR functionneighborhood of holomorphic curvepropagation of holomorphic extendability

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Hyperfunctions, analytic functionals (46F15) Holomorphic functions of several complex variables (32A10) Geometric convexity in several complex variables (32F99)

Related Items (21)

Regularity of CR-mappings between Fuchsian type hypersurfaces in \(\mathbb{C}^2 \) ⋮ Sur la propagation des singularités dans les variétés CR ⋮ Analytic discs in conormal bundles to real submanifolds of \(\mathbb C^n\) ⋮ New extension phenomena for solutions of tangential Cauchy–Riemann equations ⋮ Hypersurfaces through higher-codimensional submanifolds of \(\mathbb{C}^n\) with preserved Levi-kernel ⋮ A remark on a theorem by Henkin and Tumanov on separately CR functions ⋮ A FOURIER-TYPE CHARACTERISATION FOR GEVREY VECTORS ON HYPO-ANALYTIC STRUCTURES AND PROPAGATION OF GEVREY SINGULARITIES ⋮ L2-Sobolev theory for the complex Green operator ⋮ Propagation of holomorphic extendibility and non-hypoellipticity of the \(\bar \partial\)-Neumann problem in an exponentially degenerate boundary ⋮ A Regularity Result for CR Mappings Between Infinite Type 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 ⋮ An extension theorem for regular functions of two quaternionic variables ⋮ Almost Mizohata Operators ⋮ On the Analyticity of Solutions of First-Order Nonlinear PDE ⋮ Hypoellipticity of the Kohn-Laplacian \(\square_b\) and of the \(\bar{\partial}\)-Neumann problem by means of subelliptic multipliers ⋮ Extension of CR-functions into weighted wedges through families of nonsmooth analytic discs ⋮ Separate real analyticity and CR extendibility ⋮ Orthogonal testing families and holomorphic extension from the sphere to the ball ⋮ On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle ⋮ Connections and propagation of analyticity for \(CR\) functions

Cites Work

• Unnamed Item
• Complex analytic coordinates in almost complex manifolds
• Propagation of analyticity for a class of non-micro-characteristic operators
• Microlocal hypo-analyticity and extension of CR functions
• Non-realizable CR structures
• ON A QUESTION OF HANS LEWY

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