Geometry of nuclear spaces. III - Spaces of holomorphic functions
Holomorphe Funktionen auf Gebieten über Banach-Räumen zu vorgegebenen Konvergenzradien.
Levi-Flat submanifolds and holomorphic extension of foliations
Mixed norm space of pluriharmonic functions
Nearly Holomorphic Functions on Hermitian Symmetric Spaces.
On branches at infinity of a pencil of polynomials in two complex variables
Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.
On -symmetrical functions
n the present paper the authors study some families of functions from a complex linear space into a complex linear space . They introduce the notion of -symmetrical function (; ) which is a generalization of the notions of even, odd and -symmetrical functions. They generalize the well know result that each function defined on a symmetrical subset of can be uniquely represented as the sum of an even function and an odd function.
On matrix Reinhardt domains.
On the Forelli-Rudin construction and weighted Bergman projections
On the Mahler measure of polynomials in many variables
On the maximum modulus theorem for nonanalytic functions in several complex variables.
Let w = f(z1, ..., zn) = u(x1, ..., yn) + iv(x1, ..., yn) be a complex function of the n complex variables z1, ..., zn, defined in some open set A ⊂ Cn. The purpose of this note is to prove a maximum modulus theorem for a class of these functions, assuming neither the continuity of the first partial derivatives of u and v with respect to xk and yk, nor the conditions fzk = 0 in A for k = 1, 2, ..., n (the Cauchy-Riemann equations in complex form).
On the theorems of Hartogs and Bishop
Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains
Problème de Cauchy microdifférentiel
Quelques travaux récents en théorie des nombres transcendants
Solutions of the Schröder equation
Some capacities and applications - the lemma on mixed derivatives revisited
Structure of spaces of germs of holomorphic functions.
Let E be a Frechet (resp. Frechet-Hilbert) space. It is shown that E ∈ (Ω) (resp. E ∈ (DN)) if and only if [H(OE)]' ∈ (Ω) (resp. [H(OE)]' ∈ (DN)). Moreover it is also shown that E ∈ (DN) if and only if Hb(E') ∈ (DN). In the nuclear case these results were proved by Meise and Vogt [2].
Su di un teorema di Hartogs
Sur les principes de la théorie générale des fonctions (suite)