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Comptes Rendus Mathématique
Volume 338, n° 1
pages 1-6 (janvier 2004)
Doi : 10.1016/j.crma.2003.11.001
Received : 10 September 2003 ;  accepted : 4 November 2003
Division des distributions et applications à l'étude d'idéaux de fonctions holomorphes
Division distributions and applications to the study of ideals of holomorphic functions

Emmanuel  Mazzilli
Laboratoire de géométrie, analyse et topologie, CNRS UMR 8524, UFR de mathématiques, Université Lille I, 59655 Villeneuve d'Ascq cedex, France 

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Dans cette Note, nous tentons de définir l'équivalent des courants résiduels sans utiliser la résolution des singularités. Comme application, nous démontrons une formule de représentations des fonctions holomorphes à l'aide de ces courants (une formule similaire à celle de Passare (Math. Scand. 62 (1988) 75-152). Pour citer cet article : E. Mazzilli, C. R. Acad. Sci. Paris, Ser. I 338 (2004).

Abstract

In this Note, we construct residue currents without Hironaka's theorem. As an application, we obtain a representation formula for holomorphic function as in Passare (Math. Scand. 62 (1988) 75-152). To cite this article: E. Mazzilli, C. R. Acad. Sci. Paris, Ser. I 338 (2004).




© 2003  Académie des sciences@@#104156@@

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