EXTENSION OF CR FUNCTIONS INTO A WEDGE FROM A MANIFOLD OF FINITE TYPE
From MaRDI portal
Publication:3034543
DOI10.1070/SM1989v064n01ABEH003298zbMath0692.58005OpenAlexW2088522829MaRDI QIDQ3034543
Publication date: 1989
Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm1989v064n01abeh003298
Continuation of analytic objects in several complex variables (32D15) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Holomorphic functions of several complex variables (32A99)
Related Items
The stationary disc method in the unique jet determination of CR automorphisms ⋮ A note on the closed range of \({\bar{\partial}}_b\) on \(q\)-convex manifolds ⋮ A characterization of harmonic functions and points of finite and infinite type ⋮ Sur la propagation des singularités dans les variétés CR ⋮ Normal and tangent ranks of CR mappings ⋮ Analytic discs in conormal bundles to real submanifolds of \(\mathbb C^n\) ⋮ Pseudoholomorphic discs attached to CR-submanifolds of almost complex spaces ⋮ The boundary Morera theorem for domain $\tau^+(n-1)$ ⋮ On CR mappings between pseudoconvex hypersurfaces of finite type in \(\mathbb{C}^2\) ⋮ Geometric and analytic problems for a real submanifold in \(\mathbb{C}^n\) with CR singularities ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Proper holomorphic mappings between real analytic domains in \(\mathbf \mathbb{C}^ n\) ⋮ Weak \(q\)-concavity conditions for CR manifolds ⋮ \(L^2\)-estimates with Levi-singular weight, and existence for \(\overline{\partial}\) ⋮ Holomorphic deformations of real-analytic CR maps and analytic regularity of CR mappings ⋮ Deformation of CR-manifolds, minimal points and CR-manifolds with the microlocal analytic extension property ⋮ Complex vector fields, unique continuation and the maximum modulus principle ⋮ The range of the tangential Cauchy-Riemann system to a CR embedded manifold ⋮ Non-embeddable real algebraic hypersurfaces ⋮ On symmetric Cauchy-Riemann manifolds ⋮ \(C^\infty\) solvability of the \(\overline{\partial}\) system on wedges of \(\mathbb{C}^N\) ⋮ Solvability of the \(\bar\partial\) problem with \(C^\infty\) regularity up to the boundary on wedges of \(\mathbb{C}^N\) ⋮ On Lewy extension for smooth hypersurfaces in ℂⁿ×ℝ ⋮ Differentiable CR mappings and CR orbits ⋮ Filling real hypersurfaces by pseudoholomorphic discs ⋮ Divergent CR-equivalences and meromorphic differential equations ⋮ Flattening a non-degenerate CR singular point of real codimension two ⋮ On the holomorphic extension of CR functions from nongeneric CR submanifolds of \(\mathbb C^{n}\): the positive defect case ⋮ Reflection principle and boundary properties of holomorphic mappings ⋮ Lie group structures on groups of diffeomorphisms and applications to CR manifolds. ⋮ Holomorphic extension from weakly pseudoconcave CR manifolds ⋮ On the stability group of CR manifolds ⋮ Null Holomorphic Curves in $$\mathbb{C}^{3}$$ and Applications to the Conformal Calabi-Yau Problem ⋮ Unnamed Item ⋮ Analytic discs and the regularity of CR mappings in higher codimension ⋮ Regularity of CR mappings of abstract CR structures ⋮ Nondefective stationary discs and 2-jet determination in higher codimension ⋮ Separate holomorphic extension of CR functions ⋮ Germs of holomorphic mappings between real algebraic hypersurfaces ⋮ Homogeneous Cauchy-Riemann manifolds and holomorphic envelopes ⋮ Stationary discs and finite jet determination for CR mappings in higher codimension ⋮ On boundaries of Levi-flat hypersurfaces in \(\mathbb C^n\) ⋮ Rotation of wedges of extendability for tubelike CR manifolds of CR dimension 1 ⋮ Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces ⋮ Boundaries of singularity sets, removable singularities, and CR-invariant subsets of CR-manifolds ⋮ Removable singularities of \(L^p\) CR-functions on hypersurfaces ⋮ Approximation and convergence properties of formal CR-maps ⋮ On CR singular CR images ⋮ On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle ⋮ Complex manifolds in \(q\)-convex boundaries ⋮ Study of the analytic regularity of formal CR reflection mappings ⋮ Connections and propagation of analyticity for \(CR\) functions