Proper Maps from Strongly q-Convex Domains.
Racines de polynômes de Bernstein
On considère un polynôme , à coefficients réels non négatifs, à deux indéterminées. On montre que la connaissance des pôles des intégralesdonne des renseignements sur les racines du polynômes de Bernstein de . La détermination des pôles des intégrales peut se faire en utilisant certaines méthodes de Mellin. Des calculs explicites sont donnés.
Real anlytic regularity of the Bergman and Szegö projections on decoupled domains.
Recent developments in the theory of separately holomorphic mappings
We describe a part of the recent developments in the theory of separately holomorphic mappings between complex analytic spaces. Our description focuses on works using the technique of holomorphic discs.
Réduction algébrique d'un morphisme faiblement Kählérien propre et applications.
Reflection principle in higher dimensions.
Reguläre Differentialformen des Körpers der Siegelschen Modulfunktionen.
Régularité hölderienne du ...b dans les hypersurfaces 1-convexes-concaves.
Regularity of the Bergman Projection in Weakly Pseudoconvex Domains.
Regularity of the Bergman Projection on Domains with Transverse Symmetries.
Remarks on the proof of a generalized Hartogs Lemma
This paper is an outgrowth of a paper by the first author on a generalized Hartogs Lemma. We complete the discussion of the nonlinear ∂̅ problem ∂f/∂z̅ = ψ(z,f(z)). We also simplify the proofs by a different choice of Banach spaces of functions.
Removable singularities for Bloch and normal functions
Riemann-type boundary value problems for bicircular domains with a boundary condition containing partial derivatives.
Satake Compactification and Extension of Holomorphic Mappings.
Singular sets of holonomy maps for algebraic foliations
In this article we investigate the natural domain of definition of a holonomy map associated to a singular holomorphic foliation of the complex projective plane. We prove that germs of holonomy between algebraic curves can have large sets of singularities for the analytic continuation. In the Riccati context we provide examples with natural boundary and maximal sets of singularities. In the generic case we provide examples having at least a Cantor set of singularities and even a nonempty open set...
Some properties of Reinhardt domains
We first establish the equivalence between hyperconvexity of a fat bounded Reinhardt domain and the existence of a Stein neighbourhood basis of its closure. Next, we give a necessary and sufficient condition on a bounded Reinhardt domain D so that every holomorphic mapping from the punctured disk into D can be extended holomorphically to a map from Δ into D.
Sur le prolongement d'applications holomorphes
Sur le prolongement holomorphe des fonctions C - R définies sur une hypersurfac réelle de classe C2 dans Cn.
Sur les polynômes de I. N. Bernstein
Sur l'extension des fonctions C R