## Proceedings of the Centre for Mathematics and its Applications

- Proc. Centre Math. Appl.
- Miniconference on Harmonic Analysis. M Cowling, C Meaney, and W Moran, eds. Proceedings of the Centre for Mathematical Analysis, v. 15. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1987), 167 - 175

### On the representation theory of SU(2,1)

#### Abstract

In their paper on the Szegö map, Knapp and WaJlach [KW] remarked that in the case of those discrete series representations of SU(2, 1) which occur as the subquotient of three principal series representations, their methods provided only two of these. That is, the Szegö map built from the highest weight vector misses some occurrences of discrete series represen- · tations as quotients. In this note we use the extension of Szegö maps due to Gilbert, Stanton, Kunze, and Tomas [GKST] to investigate these further cases.

#### Article information

**Dates**

First available in Project Euclid:
18 November 2014

**Permanent link to this document**

https://projecteuclid.org/
euclid.pcma/1416336464

**Mathematical Reviews number (MathSciNet)**

MR935599

**Zentralblatt MATH identifier**

0635.22013

#### Citation

Meaney, Christopher. On the representation theory of SU(2,1). Miniconference on Harmonic Analysis, 167--175, Centre for Mathematical Analysis, The Australian National University, Canberra AUS, 1987. https://projecteuclid.org/euclid.pcma/1416336464