Sur certains compl\'et\'es unitaires universels explicites pour GL_2(F)
Representation Theory
2012-04-02 v2 Number Theory
Abstract
In this paper we give an explicit description of the universal unitary completion of certain locally Q_p-analytic representations of GL_2(F), where F is a finite extension of Q_p (this generalizes some results of Berger-Breuil for F=Q_p). To this aim, we make use of certain Banach spaces of C^r functions on O_F (for r a positive real number) introduced by the author.
Keywords
Cite
@article{arxiv.1111.1016,
title = {Sur certains compl\'et\'es unitaires universels explicites pour GL_2(F)},
author = {Marco De Ieso},
journal= {arXiv preprint arXiv:1111.1016},
year = {2012}
}
Comments
35, in french