On the differentiable vectors for contragredient representations
Representation Theory
2013-10-22 v2 Analysis of PDEs
Functional Analysis
Abstract
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.Nourrigat's recent description of the norm closure of the pseudo-differential operators of order zero.
Cite
@article{arxiv.1306.5317,
title = {On the differentiable vectors for contragredient representations},
author = {Ingrid Beltita and Daniel Beltita},
journal= {arXiv preprint arXiv:1306.5317},
year = {2013}
}
Comments
6 pages; the final version is published in C. R. Math. Acad. Sci. Paris 351 (2013), no. 13-14, 513--516