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Transformation de bochner-martinelli dans une variété de stein

Part of the Lecture Notes in Mathematics book series (LNM,volume 1295)

Résumé

Etant donné une forme différentielle C 1 ou un courant d'ordre nul, f, à support compact sur une hypersurface réelle d'une variété de Stein, on définit, en utilisant les noyaux globaux de Henkin et Leiterer, une transformée de Bochner-Martinelli généralisée de f et on étudie son comportement au voisinage de l'hypersurface. Dans le cas où l'hypersurface est le bord d'un domaine relativement compact et où f est une mesure vérifiant les conditions de Cauchy-Riemann, on obtient une généralisation du théorème d'extension de Bochner.

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© 1987 Springer-Verlag

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Laurent-Thiébaut, C. (1987). Transformation de bochner-martinelli dans une variété de stein. In: Lelong, P., Dolbeault, P., Skoda, H. (eds) Séminaire d’Analyse P. Lelong — P. Dolbeault — H. Skoda. Lecture Notes in Mathematics, vol 1295. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081979

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  • DOI: https://doi.org/10.1007/BFb0081979

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