Polynomial hulls and positive currents
نویسندگان
چکیده
We extend the Wermer’s theorem, to describe the polynomial hull of compact sets lying on the boundary of a smooth strictly convex domain of Cn. We also extend the result to polynomial p-hulls and apply it to get properties of pluriharmonic or p.s.h. positive currents. RÉSUMÉ. Nous décrivons à la suite des travaux de Wermer, l’enveloppe polynomiale des ensembles compacts contenus dans le bord d’un domaine lisse strictement convexe de Cn. Nous étendons aussi ce résultat aux penveloppes polynomiales et l’appliquons à l’étude de quelques propriétés des courants positifs pluriharmoniques ou p.s.h. Annales de la Faculté des Sciences de Toulouse Vol. XII, n° 3, 2003 PI
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