Bernard Coupet

ON BOUNDARY RIGIDITY AND REGULARITY OF HOLOMORPHIC MAPPINGS

We prove that a continuous CR mapping between two pseudoconvex hypersurfaces of finite type in

Analyticité des applications Cℛ

{\mathbb C}^2

Regularity of CR maps between convex hypersurfaces of finite type

is smooth if at least one of the hypersurfaces is strictly pseudoconex.

On the boundary rigidity phenomenon for automorphisms of domains in ℂⁿ

We establish sufficient conditions for the analyticity of a smooth CR mapping between two real analytic manifolds.

On the uniform extendibility of proper holomorphic mappings

We study rigidity and regularity properties of CR maps between smooth convex hypersurfaces of finite type in Cn+1.

Holomorphic maps of algebraic CR manifolds

We prove that a piecewise smoothly bounded strictly pseudoconvex domain with a non–compact automorphism group is biholomorphic to the ball. A boundary version of the Schwarz lemma for automorphisms of such a domain is settled.

On partial analyticity of CR mappings

This paper considers the problem oi holomorphic extension of compact families of holomorphic proper mappings between bounded pseudoconvex domains with real analytic boundaries. Some results on the uniform extension are established We prove a general version of Vitushkins theorem.