On the differentiable vectors for contragredient representations

2013/06/22 by Ingrid Beltita, Beltita, Ingrid, Daniel Beltita +1
Mathematics · #47B10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 22E45 #Representation Theory (math.RT) #Secondary 47G30 #math.AP #math.FA #math.RT #msc:22E45 #msc:47B10 #msc:47G30

paper · pdf · doi:10.48550/arxiv.1306.5317

6 pages; the final version is published in C. R. Math. Acad. Sci. Paris 351 (2013), no. 13-14, 513--516

arxiv created 2013/10/19 · arxiv updated 2013/10/22

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.

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