Properties of Peak Sets in Weakly Pseudoconvex Boundaries in C2.
Propriétés de division par des fonctions de
Pseudoconvex Domains: An Example with Nontrivial Nebenhülle.
Pseudo-uniform Convexity in Hardy Spaces over Riemann Surfaces.
Quasi-analyticity in Carleman ultraholomorphic classes
We give a characterization for two different concepts of quasi-analyticity in Carleman ultraholomorphic classes of functions of several variables in polysectors. Also, working with strongly regular sequences, we establish generalizations of Watson’s Lemma under an additional condition related to the growth index of the sequence.
Quelques résultats de division dans
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
Simultaneous automorphisms on the space of analytic functions of several complex variables
Small sets in
Some applications of functions of several complex variables to Toeplitz and subnormal operators
Sous-espaces privilégiés d'un polycylindre
Cet article précise la notion de privilège introduite par A. Douady. Un sous-espace privilégié d’un polycylindre est défini par un idéal fermé de l’algèbre des fonctions continues sur et holomorphes sur , cet idéal étant supposé de résolution finie.Les sous-espaces privilégiés d’un polycylindre fixé sont classés par un espace analytique banachique, “une grassmannienne”, introduit par A. Douady et dont on donne ici la propriété universelle.Pour cela on montre que la notion de privilège est locale...
Spaces of analytic functions
Spectra of subnormal Hardy type operators
The essential spectrum of bundle shifts over Parreau-Widom domains is studied. Such shifts are models for subnormal operators of special (Hardy) type considered earlier in [AD], [R1] and [R2]. By relating a subnormal operator to the fiber of the maximal ideal space, an application to cluster values of bounded analytic functions is obtained.
Strict continuous homomorphisms on spaces of bounded holomorphic functions.
Let HE∞ be the space of all bounded holomorphic functions on the unit ball of the Banach space E. In this note we study the algebra homomorphisms on HE∞ which are strict continuous.