scientific article; zbMATH DE number 3404655

zbMath0256.32007MaRDI QIDQ5670927

Publication date: 1972

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Continuation of analytic objects in several complex variables (32D15) Analytic sheaves and cohomology groups (32C35) Linear first-order PDEs (35F05) Differential forms in global analysis (58A10) Exterior differential systems (Cartan theory) (58A15) Stein spaces (32E10) Holomorphically convex complex spaces, reduction theory (32E05)

Related Items

CR structures with group action and extendability of CR functions ⋮ Kernels of Martinelli-Bochner type on hypersurfaces ⋮ CR Functions and Tube Manifolds ⋮ Sur la propagation des singularités dans les variétés CR ⋮ On the nonvanishing of abstract Cauchy-Riemann cohomology groups ⋮ On strict Levi q-convexity and q-concavity on domains with piecewise smooth boundaries ⋮ Tangential Cauchy-Riemann complexes on distributions ⋮ Local solvability for $\overline{\partial}$ with Gevrey regularity up to the boundary of a $r$- convex domain ⋮ Remarks on weakly pseudoconvex boundaries: Erratum ⋮ On the extension of CR-functions ⋮ Homology and cohomology in hypo-analytic structures of the hypersurfaces type ⋮ Unnamed Item ⋮ Boundary Hölder and $L^p$ estimates for local solutions of the tangential Cauchy-Riemann equation ⋮ The Hartogs phenomenon in hypersurfaces with constant signature ⋮ Aneurysms of pseudoconcave $CR$ manifolds ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Lichnerowicz-Obata theorem for the Kohn Laplacian in three dimensions ⋮ On the Hartogs-Bochner extension phenomenon for differential forms ⋮ Hartogs extension theorems on Stein spaces ⋮ Exact sequences and estimates for the $\overline{\partial } $-problem ⋮ Unnamed Item ⋮ The Hartogs extension phenomenon in toric varieties ⋮ Cauchy integral decomposition for harmonic forms ⋮ Sharp estimates for the operator $\overline{\partial}_M$ on a $q$-concave CR-manifold ⋮ Analytic continuation of functions of several complex variables and its applications ⋮ The two-dimensional inverse conductivity problem ⋮ On the maximum modulus principle for the tangential Cauchy-Riemann equations ⋮ On the boundary complex of the $k$-Cauchy-Fueter complex ⋮ Holomorphic extensions and theta functions on complex tori ⋮ Certain Contributions to the $$\bar {\partial }$$ -Problem ⋮ Noncharacteristic hypersurfaces for complexes of differential operators ⋮ Resolution of $\overline{\partial}$ for continuable currents defined in a circular domain. ⋮ Hartogs extension for generalized tubes in $\mathbb C^n$ ⋮ Szegő kernel asymptotics and Morse inequalities on CR manifolds ⋮ Analytic discs under symplectic transforms ⋮ Extension and tangential CRF conditions in quaternionic analysis ⋮ Holomorphic extension of CR functions from quadratic cones ⋮ Unnamed Item ⋮ Remarks on weakly pseudoconvex boundaries ⋮ A Morse-theoretical proof of the Hartogs extension theorem ⋮ A Kernel Approach to the Local Solvability of the Tangential Cauchy Riemann Equations ⋮ Holomorphic Extension and Decomposition from a Totally Real Manifold ⋮ On the Cauchy problem in complex analysis ⋮ Pluriharmonic functions on abstract CR manifolds ⋮ Physical space-time and nonrealizable 𝐶𝑅-structures ⋮ Local existence theorems with estimates for $\bar \partial_ b$ on weakly pseudo-convex CR manifolds ⋮ Differential equations without solutions ⋮ Uniform estimates for the Cauchy-Riemann equation on $q$-convex wedges ⋮ Stein fillability and the realization of contact manifolds ⋮ On local solvability of certain differential complexes ⋮ A generalization to overdetermined systems of the notion of diagonal operators. II: Hyperbolic operators ⋮ Complexes of differential operators. The Mayer-Vietoris sequence ⋮ Unique continuation for solutions to the induced Cauchy-Riemann equations ⋮ The complex Frobenius theorem and uniqueness of solutions to the tangential Cauchy-Riemann equations ⋮ $1$-complete semiholomorphic foliations ⋮ Holomorphic extensions in complex fiber bundles ⋮ Boundary properties of holomorphic functions of several complex variables ⋮ Boundary values of Dolbeault cohomology classes and a generalized Bochner-Hartogs theorem ⋮ Closed range for $\overline{\partial}$ and $\overline{\partial}_b$ on bounded hypersurfaces in Stein manifolds ⋮ Unnamed Item ⋮ Hypoellipticity on Cauchy-Riemann Manifolds ⋮ Unnamed Item ⋮ Top-degree global solvability in CR and locally integrable hypocomplex structures ⋮ Hölder and $L^ p$ estimates for ${\bar \partial}_ b$ on weakly pseudo-convex boundaries in ${\mathbb C}^ 2$ ⋮ Sobolev estimates for the local extension of ∂̄_{𝑏}-closed (0,1)-forms on real hypersurfaces in ℂⁿ with two positive eigenvalues ⋮ On the Cauchy problem for the $\overline \partial$ operator ⋮ Unnamed Item ⋮ Penrose transformation and complex integral geometry ⋮ Uniqueness Properties of CR-Functions ⋮ A result on extension of C. R. functions ⋮ Le problème de Cauchy pour $\overline \partial$ et application ⋮ Unnamed Item ⋮ Envelopes of holomorphy of Jordan curves in $\mathbb{C}^{n}$ ⋮ Poincaré lemma for tangential Cauchy Riemann complexes ⋮ $L^ 2$ estimates and existence theorems for the tangential Cauchy-Riemann complex ⋮ On the $C^ \infty$-regularity of the $\overline{\partial}$-operator at the boundary of a domain in $\mathbb{C}^ n$ whose Levi form has exactly $s$ strictly negative eigenvalues ⋮ The relative Hartogs- Bochner phenomenon in a 2-concave real hypersurface in a complex analytic manifold ⋮ Sharp Lipschitz estimates for operator $\overline\partial_ M$ on a $q$-pseudoconcave CR manifold. ⋮ Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries ⋮ Local solvability of the $\overline\partial$-equation with boundary regularity on weakly $q$-convex domains

This page was built for publication: