Cusp forms for reductive symmetric spaces of split rank one
Representation Theory
2015-11-19 v1
Abstract
For reductive symmetric spaces G/H of split rank one we identify a class of minimal parabolic subgroups for which certain cuspidal integrals of Harish-Chandra - Schwartz functions are absolutely convergent. Using these integrals we introduce a notion of cusp forms and investigate its relation with representations of the discrete series for G/H.
Keywords
Cite
@article{arxiv.1511.05793,
title = {Cusp forms for reductive symmetric spaces of split rank one},
author = {Erik P. van den Ban and Job J. Kuit},
journal= {arXiv preprint arXiv:1511.05793},
year = {2015}
}
Comments
76 pages