Abstract
Let G/H be a unimodular real spherical space which is either absolutely spherical, i.e. the real form of a complex spherical space, or of wave-front type. It is shown that every tempered representation for G/H embeds into a twisted discrete series for a boundary degeneration of G/H. If G/H is of wave-front type it follows that the tempered representation is parabolically induced by a twisted discrete series representation for a real spherical space formed by a Levi subgroup.
| Original language | English |
|---|---|
| Journal | Acta Mathematica |
| Volume | 218 |
| Issue number | 2 |
| Pages (from-to) | 319-383 |
| ISSN | 0001-5962 |
| DOIs | |
| Publication status | Published - Jun 2017 |