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.
Information
Published: 1 January 1987
First available in Project Euclid: 18 November 2014
zbMATH: 0635.22013
MathSciNet: MR935599
Rights: Copyright © 1987, Centre for Mathematical Analysis, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
