Remarks on the biharmonic Martin boundary and the integral representation of biharmonic functions. (Remarques sur la frontière de Martin biharmonique et la représentation intégrale des fonctions biharmoniques.)
Removability of the wave singularities in the plane.
Removability of the wave singularities in the plane. (Summary).
Removable sets for Hölder continuous -harmonic functions on metric measure spaces.
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 for bounded -harmonic functions and quasi(super)harmonic functions.
Renormalization contracts on nested fractals.
Renormalized solutions of elliptic equations with general measure data
Represenation of a p-harmonic function near a critical point in the plane.
Representation formulas for non-symmetric Dirichlet forms.
Représentation intégrale des capacités
Représentation intégrale des fonctions surharmoniques au moyen des réduites
Representation of Capacities.
Representation of functions by logarithmic potential and reducibility of analytic functions of several variables.
The necessary and sufficient condition that a given plurisubharmonic or a subharmonic function admits the representation by the logarithmic potential (up to pluriharmonic or a harmonic term) is obtained in terms of the Radon transform. This representation is applied to the problem of representation of analytic functions by products of primary factors.
Representation of multivariate functions via the potential theory and applications to inequalities.
Reproducing kernels for Dunkl polyharmonic polynomials
In this paper, we compute explicitly the reproducing kernel of the space of homogeneous polynomials of degree and Dunkl polyharmonic of degree , i.e. , , where is the Dunkl Laplacian and we study the convergence of the orthogonal series of Dunkl polyharmonic homogeneous polynomials.
Reproducing Kernels for Harmonic Bergman Spaces of the Unit Ball.
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.
Réseaux électrique planaires I.
Reseaux électriques planaires II.