paper

Square integrability of representations on p-adic symmetric spaces

arXiv:0902.2302

Abstract

A symmetric space analogue of Casselman's criterion for square integrability of representations of a p-adic group is established. It is described in terms of exponents of Jacquet modules along parabolic subgroups associated to the symmetric space.

24 pages; added two lemmas and revised the proof of the main theorem; added one more example; corrected typos

Square integrability of representations on p-adic symmetric spaces · wovepaper