A Formula for Interpolation and Division in Cn.
A generalized area integral estimate and applications
A pointwise growth estimate for analytic functions in tubes.
A sharp form of Nevanlinna's second main theorem of several complex variables.
Algebraic dependences of meromorphic mappings sharing few moving hyperplanes
We study algebraic dependences of three meromorphic mappings which share few moving hyperplanes without counting multiplicity.
Approximation polynomiale et extension holomorphe avec croissance sur une variété algébrique
We first give a general growth version of the theorem of Bernstein-Walsh-Siciak concerning the rate of convergence of the best polynomial approximation of holomorphic functions on a polynomially convex compact subset of an affine algebraic manifold. This can be considered as a quantitative version of the well known approximation theorem of Oka-Weil. Then we give two applications of this theorem. The first one is a generalization to several variables of Winiarski's theorem relating the growth of...
Associated weights and spaces of holomorphic functions
When treating spaces of holomorphic functions with growth conditions, one is led to introduce associated weights. In our main theorem we characterize, in terms of the sequence of associated weights, several properties of weighted (LB)-spaces of holomorphic functions on an open subset which play an important role in the projective description problem. A number of relevant examples are provided, and a “new projective description problem” is posed. The proof of our main result can also serve to characterize...
Average Growth Estimates for Hyperplane Sections of Entire Analytic Sets.