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Comptes Rendus Mathématique
Volume 337, n° 12
pages 767-770 (décembre 2003)
Doi : 10.1016/j.crma.2003.10.020
Received : 15 July 2003 ;  accepted : 14 October 2003
Spectral multipliers on some rank one  -groups with roots not all positive

Emilie  David-Guillou
Université Pierre et Marie Curie - Paris VI, institut de mathématiques, 4, place Jussieu, 75252 Paris cedex 05, France 


We consider a particular class of (non-unimodular) rank one  -groups with roots not all positive, and we show that, on each of these groups, there exists a distinguished left invariant sub-Laplacian which admits a  -differentiable functional calculus for every  . To cite this article: E. David-Guillou, C. R. Acad. Sci. Paris, Ser. I 337 (2003).


Nous considérons une certaine classe de groupes de Lie (non-unimodulaires) de type   de rang un avec des racines non toutes positives, et nous montrons que, sur chacun de ces groupes, il existe un sous-laplacien invariant à gauche particulier qui admet un calcul fonctionnel  -différentiable pour tout  . Pour citer cet article : E. David-Guillou, C. R. Acad. Sci. Paris, Ser. I 337 (2003).

© 2003  Académie des sciences@@#104156@@

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