The analytic domain in the implicit function theorem.
The Bergman projection on harmonic functions
The Cartan-Thullen theorem for Banach spaces
The class of holomorphic functions representable by Carleman formula
The corona theorem for the ball and polydisc.
The exceptional sets for functions from the Bergman space
The field of Nash functions and factorization of polynomials
The algebraically closed field of Nash functions is introduced. It is shown that this field is an algebraic closure of the field of rational functions in several variables. We give conditions for the irreducibility of polynomials with Nash coefficients, a description of factors of a polynomial over the field of Nash functions and a theorem on continuity of factors.
The linear fractional model on the ball.
The N-Dimensional Cauchy-Riemann equations.
The Pluripolar Hull and the Fine Topology
We show that the projections of the pluripolar hull of the graph of an analytic function in a subdomain of the complex plane are open in the fine topology.
The space of holomorphic functions on bounded symmetric domains
The theorem of Forelli for holomorphic mappings into complex spaces
Generalizations of the theorem of Forelli to holomorphic mappings into complex spaces are given.
The theorems of Glicksberg and Hurwitz for holomorphic maps in complex Banach spaces
General versions of Glicksberg's theorem concerning zeros of holomorphic maps and of Hurwitz's theorem on sequences of analytic functions is extended to infinite dimensional Banach spaces.
The ultra-distributions of exponential type of J. Sebastião e Silva
The zeros of functions of finite order in
Théorèmes d'identité en dimension infinie
Théorèmes sur le prolongement analytique du type «edge of the wedge theorem»