Peak Sets in Weakly Pseudoconvex Domains.
Pick interpolation for a uniform algebra
Polynomial interpolation and approximation in
We update the state of the subject approximately 20 years after the publication of T. Bloom, L. Bos, C. Christensen, and N. Levenberg, Polynomial interpolation of holomorphic functions in ℂ and ℂⁿ, Rocky Mountain J. Math. 22 (1992), 441-470. This report is mostly a survey, with a sprinkling of assorted new results throughout.
Polynominal approximation in certain weighted Hilbert spaces of entire functions.
Propriété de Runge et enveloppe d'holomorphie de certaines variétés analytiques de dimensions infinies
Pseudoconvex Domains: An Example with Nontrivial Nebenhülle.
Quasianalytic functions in the sense of Bernstein [Book]
Rational approximation on ares in
Real analytic approximation of locally embeddable CR manifolds
Régularité Gevrey au sens de Beurling ou Roumieu pour l'opérateur ... dans des ouverts non bornés.
Riemann surfaces in Stein manifolds with the Density property
We show that any open Riemann surface can be properly immersed in any Stein manifold with the (Volume) Density property and of dimension at least 2. If the dimension is at least 3, we can actually choose this immersion to be an embedding. As an application, we show that Stein manifolds with the (Volume) Density property and of dimension at least 3, are characterized among all other complex manifolds by their semigroup of holomorphic endomorphisms.
Runge Approximation.
Runge Exhaustions of Domains in Cn.
Runge families and inductive limits of Stein spaces
The general Stein union problem is solved: given an increasing sequence of Stein open sets, it is shown that the union is Stein if and only if is Hausdorff separated.
Siciak's extremal function in complex and real analysis
The Siciak extremal function establishes an important link between polynomial approximation in several variables and pluripotential theory. This yields its numerous applications in complex and real analysis. Some of them can be found on a rich list drawn up by Klimek in his well-known monograph "Pluripotential Theory". The purpose of this paper is to supplement it by applications in constructive function theory.
Some applications of functions of several complex variables to Toeplitz and subnormal operators
Some Characterizations of L-regular Points.
Some capacities and applications - the lemma on mixed derivatives revisited
Stein surfaces associated to intermediate Kato surfaces. (Surfaces de Stein associées aux surfaces de Kato intermédiaires.)
Successioni crescenti di -coppie di runge di varietà analitiche complesse