The Howe-Moore property for real and $p$-adic groups

Cluckers, Raf; de Cornulier, Yves; Louvet, Nicolas; Tessera, Romain; Valette, Alain

Type de document :

Compte-rendu et recension critique d'ouvrage

Titre :

The Howe-Moore property for real and $p$-adic groups

Auteur(s) :

Cluckers, Raf [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
de Cornulier, Yves [Auteur]
Institut de Recherche Mathématique de Rennes [IRMAR]
Louvet, Nicolas [Auteur]
Tessera, Romain [Auteur]
Unité de Mathématiques Pures et Appliquées [UMPA-ENSL]
Valette, Alain [Auteur]

Titre de la revue :

Mathematica Scandinavica

Pagination :

201-224

Date de publication :

2011

Résumé en anglais : [en]

We consider in this paper a relative version of the Howe-Moore property, about vanishing at infinity of coefficients of unitary representations.We characterize this property in terms of ergodic measure-preserving actions.We ...
Lire la suite >We consider in this paper a relative version of the Howe-Moore property, about vanishing at infinity of coefficients of unitary representations.We characterize this property in terms of ergodic measure-preserving actions.We also characterize, for linear Lie groups or p-adic Lie groups, the pairs with the relative Howe-Moore property with respect to a closed, normal subgroup. This involves, in one direction, structural results on locally compact groups all of whose proper closed characteristic subgroups are compact, and, in the other direction, some results about the vanishing at infinity of oscillatory integrals.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

The Howe-Moore property for real and ... BibTeX CSV Excel RIS

The Howe-Moore property for real and ...

BibTeX

CSV

Excel

RIS