Regularity of free boundaries in two dimensions
Regularization of a discrete backward problem using coefficients of truncated Lagrange polynomials.
Regularization of one class of difference equations.
Relations between the boundary values and periods for generalized analytic functions in
Remarks of the lemma of Nersesyan in complex approximation
Remarques sur les développements asymptotiques
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.
Représentation des fonctions par des séries de polynômes
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.
Resommation des series formelles. Solutions d'équations différentielles linéaires ordinaires du second ordre dans le champ complexe au voisinage de singularités irrégulières.
Restricted interpolation by meromorphic inner functions
Meromorphic Inner Functions (MIFs) on the upper half plane play an important role in applications to spectral problems for differential operators. In this paper, we survey some recent results concerning function theoretic properties of MIFs and show their connections with spectral problems for the Schrödinger operator.
Riemann and Hilbert boundary value problems in BMO classes for holomorphic functions.
Riemann problem on the double of a multiply connected circular region
The Riemann problem has been solved in [9] for an arbitrary closed Riemann surface in terms of the principal functionals. This paper is devoted to solution of the problem only for the double of a multiply connected region and can be treated as complementary to [9,1]. We obtain a complete solution of the Riemann problem in that particular case. The solution is given in analytic form by a Poincaré series.
Riemann-Hilbert boundary value problems in BMO classes for generalized analytic functions.
Riesz potential operators and inverses via fractional centred derivatives.
Rigidité des empilements infinis immergés proprement dans le plan et dans le disque
Sampling Sets for the Nevanlinna class.
Schwarz-sche Randwertaufgabe fur eine Klasse der verallgemeinerten analytischen Funktionen
Sequences of differential operators: exponentials, hypercyclicity and equicontinuity
An eigenvalue criterion for hypercyclicity due to the first author is improved. As a consequence, some new sufficient conditions for a sequence of infinite order linear differential operators to be hypercyclic on the space of holomorphic functions on certain domains of are shown. Moreover, several necessary conditions are furnished. The equicontinuity of a family of operators as above is also studied, and it is characterized if the domain is . The results obtained extend or improve earlier work...
Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions
We give an elementary approach which allows us to evaluate Seip's conditions characterizing interpolating and sampling sequences in weighted Bergman spaces of infinite order for a wide class of weights depending on the distance to the boundary of the domain. Our results also give some information on cases not covered by Seip's theory. Moreover, we obtain new criteria for weights to be essential.