Mesures de Monge-Ampère et mesures pluriharmoniques.
M-Harmonic Besov p-spaces and Hankel operators in the Bergman Space on the Ball in Cn.
Mittag-Leffler type expansions of -closed -forms in certain domains in
In this paper we will prove a Mittag-Leffler type theorem for -closed -forms in by addressing the question of constructing such differential forms with prescribed periods in certain domains.
Multidimensional residues and ideal membership.
Let I(f) be a zero-dimensional ideal in C[z1, ..., zn] defined by a mapping f. We compute the logarithmic residue of a polynomial g with respect to f. We adapt an idea introduced by Aizenberg to reduce the computation to a special case by means of a limiting process.We then consider the total sum of local residues of g w.r.t. f. If the zeroes of f are simple, this sum can be computed from a finite number of logarithmic residues. In the general case, you have to perturb the mapping f. Some applications...