On the pythagoras numbers of real analytic surfaces
On the Radial Cluster Sets for Holomorphic Functions in the Unit Ball of Cn.
On the regularity of extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position
On the Rogosinski radius for holomorphic mappings and some of its applications
The well known theorem of Rogosinski asserts that if the modulus of the sum of a power series is less than 1 in the open unit disk: , |z| < 1, then all its partial sums are less than 1 in the disk of radius 1/2: , |z| < 1/2, and this radius is sharp. We present a generalization of this theorem to holomorphic mappings of the open unit ball into an arbitrary convex domain. Other multidimensional analogs of Rogosinski’s theorem as well as some applications to dynamical systems are considered....
On the shared values of entire functions and their partial differential polynomials in Cn*.
On the Size of Balls Covered by Analytic Transformations.
On the space of integral Dirichlet functions of several complex variables
On the spectra of holomorphic function algebras
On the spectrum of A(Ω) and
We study some properties of the maximal ideal space of the bounded holomorphic functions in several variables. Two examples of bounded balanced domains are introduced, both having non-trivial maximal ideals.
On the theorems of Hartogs and Bishop
On the Toëplitz corona problem.
The aim of this note is to characterize the vectors g = (g1, . . . ,gk) of bounded holomorphic functions in the unit ball or in the unit polydisk of Cn such that the Corona is true for them in terms of the H2 Corona for measures on the boundary.
On the zero set of the Kobayashi-Royden pseudometric of the spectral unit ball
Given A∈ Ωₙ, the n²-dimensional spectral unit ball, we show that if B is an n×n complex matrix, then B is a “generalized” tangent vector at A to an entire curve in Ωₙ if and only if B is in the tangent cone to the isospectral variety at A. In the case of Ω₃, the zero set of the Kobayashi-Royden pseudometric is completely described.
On the zeta-function of systems of nonlinear equations.
On uniform convergence for (mu,nu)-type rational approximants in II.
On unique range sets of meromorphic functions in
By considering a question proposed by F. Gross concerning unique range sets of entire functions in , we study the unicity of meromorphic functions in that share three distinct finite sets CM and obtain some results which reduce to .
On values of homogeneous polynomials in discrete sets of points
On weighted Bergman kernels of bounded domains
We build on work by Z. Pasternak-Winiarski [PW2], and study a-Bergman kernels of bounded domains for admissible weights .
On weights which admit the reproducing kernel of Bergman type.
Opérateurs différentiels d'ordre infini dans des espaces de fonctions entières
Operator-Valued Positive Definite Kernels on Tubes.