Home Nonfiction 10 • Download Analyse Complexe: Proceedings of the Journées Fermat - by E. Bedford, S. Bell (auth.), Eric Amar, Roger Gay, Nguyen PDF

Download Analyse Complexe: Proceedings of the Journées Fermat - by E. Bedford, S. Bell (auth.), Eric Amar, Roger Gay, Nguyen PDF

By E. Bedford, S. Bell (auth.), Eric Amar, Roger Gay, Nguyen Van Thanh (eds.)

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Additional resources for Analyse Complexe: Proceedings of the Journées Fermat - Journées SMF, held at Toulouse, May 24–27, 1983

Example text

I N T R O D U C T I O N E T E N O N C E DES R E S U L T A T S . e. aT centre et de r a y o n (avec z p+q=n la m e s u r e ; v ( T , z ) > _ c > 0] associ6s ~ (p,p) T , ® de ~ Cn que si les aux nombres de L e l o n g fin e s t p o s s i b l e p o u r v u clue la d e n s i t ~ de de p l u s q u ' i l n ' y a p a s p r o p a g a t i o n d e s ® p e u t 8 t r e c h o i s i e de c l a s s e de analytique sur l'ouvert tronqu~ se p r o l o n g e n t e u x - m ~ m e s trace r , T ne peut se prolonger On v ~ r i f i e a l o r s l'extension On notera T i c i clue le p r o l o n g e m e n t ne s o i t p a s t r o p g r a n d e .

5/2 (c') J C~T(Z ' r) ~ sup - - d r n z6~5\fi c r 0 s e l o n que courant C alors e s t de b i d e g r 6 ® >_ 0 ferm6 dans e n d e h o r s de La est une T condition fonction (CI) exprime ~l~mentaire construit ~ l'aide de noyaux XT sorte , de i~V On {1,1) ~n (q,q) , ou q>_2 . A l o r s il e x i s t e un qui c o i h c i d e a v e c T sur fl c et de c l a s s e 5 " simplement plurisousharmonique de mani~re < +~ born~e que sur (cf. § i). Dans un potentiel ~)5\ % le cas global p o s s ~ d e un p o t e n t i e l T V • L ' e x i s t e n c e de g~n6ral dans fin q ~ 2 V ® qui se v~rifie t r a i t ~ au § 2 , on p o u r le c o u r a n t t r o n q u 6 clue = xT remarquera + termes qu'en correctifs g~n~ral sup zEOs\O~¢, r ~ 6/2 les masses OT(Z, r) - < + ¢z r 2p d ' a p r ~ s un r ~ s u l t a t c l a s s i q u e de P .

LtEiVgVltE 1. Hi(:i,zi) Idk(zi)<_ C {Iz i I

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