Remarques sur un problème de M. Biernacki relatif aux fonctions subordonnées dans le cas des majorantes convexes
Removable sets for Lipschitz harmonic functions in the plane.
The main motivation for this work comes from the century-old Painlevé problem: try to characterize geometrically removable sets for bounded analytic functions in C.
Removable singularities and Liouville-type property of analytic multivalued functions
Removable singularities for spaces of analytic functions, .
Removable singularities for Hölder continuous quasiregular mappings in the plane.
Removable singularities for weighted Bergman spaces
We develop a theory of removable singularities for the weighted Bergman space , where is a Radon measure on . The set is weakly removable for if , and strongly removable for if . The general theory developed is in many ways similar to the theory of removable singularities for Hardy spaces, and locally Lipschitz spaces of analytic functions, including the existence of counterexamples to many plausible properties, e.g. the union of two compact removable singularities needs not be removable....
Répartition des valeurs d'une somme de fonctions exponentielles
Repeated Modifications of Limit k-Periodic continued Fractions.
Représentation conforme et courbes presque lipschitziennes
Nous étudions la représentation conforme des domaines simplement connexes du plan dont le bord est une courbe presque lipschitzienne au sens de G. David, ainsi que le problème de l’approximation de ces domaines par des domaines de Lavrentiev.
Représentation conforme et symétries: une détermination élémentaire du module d'un quadrilatère en forme de L.
Représentation des fonctions par des séries de polynômes
Representation Theorems for Functions Holomorphic and Meromorphic in the Unit Disk.
Représentations conformes , , au point de vue de la géométrie conforme.
Representations of automorphisms on differentials of function fields of characteristic p.
Representations of Inverse Functions by the Integral Transform with the Sign Kernel
Mathematics Subject Classification: Primary 30C40In this paper we give practical and numerical representations of inverse functions by using the integral transform with the sign kernel, and show corresponding numerical experiments by using computers. We derive a very simple formula from a general idea for the representation of the inverse functions, based on the theory of reproducing kernels.
Representing measures for the disc algebra and for the ball algebra
We consider the set of representing measures at 0 for the disc and the ball algebra. The structure of the extreme elements of these sets is investigated. We give particular attention to representing measures for the 2-ball algebra which arise by lifting representing measures for the disc algebra.
Reproducing kernels and contractive divisors in Bergman spaces
Reproducing kernels and multiple interpolation by holomorphic functions
Reproducing kernels for holomorphic functions on some balls related to the Lie ball
We consider holomorphic functions and complex harmonic functions on some balls, including the complex Euclidean ball, the Lie ball and the dual Lie ball. After reviewing some results on Bergman kernels and harmonic Bergman kernels for these balls, we consider harmonic continuation of complex harmonic functions on these balls by using harmonic Bergman kernels. We also study Szegő kernels and harmonic Szegő kernels for these balls.
Réseau des périodes des courbes ... (q permier).