Démonstration nouvelle d'un théorème fondamental sur les suites de fonctions monogènes
Density of heat curves in the moduli space
Density of periodic sources in the boundary of a basin of attraction for iteration of holomorphic maps: geometric coding trees technique
We prove that if A is a basin of immediate attraction to a periodic attracting or parabolic point for a rational map f on the Riemann sphere, then the periodic points in the boundary of A are dense in this boundary. To prove this in the non-simply connected or parabolic situations we prove a more abstract, geometric coding trees version.
Density of Polynomials in the L^2 Space on the Real and the Imaginary Axes and in a Sobolev Space
2000 Mathematics Subject Classification: 41A10, 30E10, 41A65.In this paper we consider an L^2 type space of scalar functions L^2 M, A (R u iR) which can be, in particular, the usual L^2 space of scalar functions on R u iR. We find conditions for density of polynomials in this space using a connection with the L^2 space of square-integrable matrix-valued functions on R with respect to a non-negative Hermitian matrix measure. The completness of L^2 M, A (R u iR ) is also established.
Density theorems for sampling and interpolation in the Bargmann-Fock space III.
Der 4-Werte-Satz in der Zahlentheorie
Der Fundamentalbereich der Schwarz`schen s- Function im Falle complexer Exponenten
Der Satz von der Gebietstreue.
Der Zusammenhang zwischen der Randwertaufgabe von Riemann und einem Problem der mathematischen Musiktheorie
Derivative and antiderivative operators and the size of complex domains
We prove some conditions on a complex sequence for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to it. These operators are defined on the space of holomorphic functions in a complex domain. Conditions for the equicontinuity of those sequences are also studied. The conditions depend upon the size of the domain.
Derivative of generalized quadratic mean function of entire functions defined by Dirichlet series
Derivative uniform sampling via Weierstrass . Truncation error analysis in .
Derivatives of Close-to-Convex Functions, Integral means and Bounded Mean Oscillation.
Description of simple exceptional sets in the unit ball
For , the boundary of the unit ball in , let . If then we call the exceptional set for . In this note we give a tool for describing such sets. Moreover we prove that if is a and subset of the projective -dimensional space then there exists a holomorphic function in the unit ball so that .
Descriptions of zero sets and parametric representations of certain analytic area Nevanlinna type classes in the unit disk
Détermination des fonctions d'une variable qui admettent les substitutions d'un groupe quelconque donné, et seulement ces substitutions-là
Détermination du nombre des intégrales abéliennes de première espèce
Determination of the pluripolar hull of graphs of certain holomorphic functions
Let be a closed polar subset of a domain in . We give a complete description of the pluripolar hull of the graph of a holomorphic function defined on . To achieve this, we prove for pluriharmonic measure certain semi-continuity properties and a localization principle.
Determining of an extremal domain fo the functions from the -class.
Deux exemples sur la dimension moyenne d’un espace de courbes de Brody
On étudie la dimension moyenne de l’espace de courbes -Brody à valeurs dans deux surfaces complexes : d’abord pour des surfaces de Hopf, et ensuite pour privé d’une droite. On montre dans le premier cas que la dimension moyenne est nulle via une borne sur la croissance des fonctions holomorphes faisant apparaître le lemme de la dérivée logarithmique. Pour montrer la positivité dans le deuxième exemple, on relève de la droite à son complémentaire un espace de courbes de Brody de dimension moyenne...