[Sur les vecteurs différentiables par rapport aux représentations cotragrédientes]
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.
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@article{CRMATH_2013__351_13-14_513_0,
author = {Beltita, Ingrid and Beltita, Daniel},
title = {On the differentiable vectors for contragredient representations},
journal = {Comptes Rendus. Math\'ematique},
pages = {513--516},
publisher = {Elsevier},
volume = {351},
number = {13-14},
year = {2013},
doi = {10.1016/j.crma.2013.07.017},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2013.07.017/}
}
TY - JOUR AU - Beltita, Ingrid AU - Beltita, Daniel TI - On the differentiable vectors for contragredient representations JO - Comptes Rendus. Mathématique PY - 2013 SP - 513 EP - 516 VL - 351 IS - 13-14 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2013.07.017/ DO - 10.1016/j.crma.2013.07.017 LA - en ID - CRMATH_2013__351_13-14_513_0 ER -
%0 Journal Article %A Beltita, Ingrid %A Beltita, Daniel %T On the differentiable vectors for contragredient representations %J Comptes Rendus. Mathématique %D 2013 %P 513-516 %V 351 %N 13-14 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2013.07.017/ %R 10.1016/j.crma.2013.07.017 %G en %F CRMATH_2013__351_13-14_513_0
Beltita, Ingrid; Beltita, Daniel. On the differentiable vectors for contragredient representations. Comptes Rendus. Mathématique, Tome 351 (2013) no. 13-14, pp. 513-516. doi : 10.1016/j.crma.2013.07.017. http://www.numdam.org/articles/10.1016/j.crma.2013.07.017/
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