-estimates and existence theorems for generalized analytic functions in several variables.
Soit un fibré holomorphe localement trivial de base une variété de Stein et de fibre une courbe compacte.Si est un ouvert localement pseudoconvexe de ne contenant aucune fibre, alors est de Stein.
We generalize a theorem of Siciak on the polynomial approximation of the Lelong class to the setting of toric manifolds with an ample line bundle. We also characterize Lelong classes by means of a growth condition on toric manifolds with an ample line bundle and construct an example of a nonample line bundle for which Siciak's theorem does not hold.