Comptes Rendus
no. 13-14
Mathematical Analysis/Harmonic Analysis
On the differentiable vectors for contragredient representations
[Sur les vecteurs différentiables par rapport aux représentations cotragrédientes]

Présenté par : Jean-Michel Bony

Ingrid Beltita1 ; Daniel Beltita1
1 Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, Bucharest, Romania
Comptes Rendus. Mathématique, Volume 351 (2013) no. 13-14, pp. 513-516.

On obtient quelques résultats sur les représentations contragrédientes des groupes de Lie qui permettent dʼaborder, dʼune manière abstraite, la caractérisation de lʼadhérence normique de lʼensemble des opérateurs pseudodifférentiels dʼordre zero obtenue récemment par J. Nourrigat.

We establish a few simple results on contragredient representations of Lie groups, with a view toward applications to the abstract characterization of some spaces of pseudo-differential operators. In particular, this method provides an abstract approach to J. Nourrigatʼs recent description of the norm closure of the pseudo-differential operators of order zero.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.07.017
Ingrid Beltita 1 ; Daniel Beltita 1

1 Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, Bucharest, Romania 
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Ingrid Beltita; Daniel Beltita. On the differentiable vectors for contragredient representations. Comptes Rendus. Mathématique, Volume 351 (2013) no. 13-14, pp. 513-516. doi : 10.1016/j.crma.2013.07.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.07.017/

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