Valeurs au bord de fonctions holomorphes bornées en plusieurs variables complexes
Attracting domains for semi-attractive transformations of C.
Let F be a germ of analytic transformation of (C, 0). We say that F is semi-attractive at the origin, if F' has one eigenvalue equal to 1 and if the other ones are of modulus strictly less than 1. The main result is: either there exists a curve of fixed points, or F - Id has multiplicity k and there exists a domain of attraction with k - 1 petals. We also study the case where F is a global isomorphism of C and F - Id has multiplicity k at the origin. This work has been inspired by two papers: one...
Ensemble des zéros d'une fonction holomorphe bornée dans la boule unité.
Boundary Properties of Holomorphic Functions in the Ball of Cn.
Valeurs au bord des modules de fonctions holomorphes.
Fonctions holomorphes bornées sur la boule unité de Cn.
Sur les traces de Spearman (II) Le problème des rangs
Sur les traces de Spearman (I) Le problème des communautés
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