Rapport sur le prolongement analytique dans les corps values complets par la méthode des éléments analytiques quasi-connexes
Rational approximation on ares in
Real analytic maximum modulus manifolds in strictly pseudoconvex boundaries
Regularity of the Bergman Projection and Duality of Holomorphic Function Spaces.
Representing measures for the disc algebra and for the ball algebra
We consider the set of representing measures at 0 for the disc and the ball algebra. The structure of the extreme elements of these sets is investigated. We give particular attention to representing measures for the 2-ball algebra which arise by lifting representing measures for the disc algebra.
Residues, currents, and their relation to ideals of holomorphic functions.
Riemann mapping theorem in ℂⁿ
The classical Riemann Mapping Theorem states that a nontrivial simply connected domain Ω in ℂ is holomorphically homeomorphic to the open unit disc 𝔻. We also know that "similar" one-dimensional Riemann surfaces are "almost" holomorphically equivalent. We discuss the same problem concerning "similar" domains in ℂⁿ in an attempt to find a multidimensional quantitative version of the Riemann Mapping Theorem