Translator Disclaimer
15 June 2004 Restriction of square integrable representations: Discrete spectrum
Jorge Vargas, Bent Ørsted
Duke Math. J. 123(3): 609-633 (15 June 2004). DOI: 10.1215/S0012-7094-04-12336-X

Abstract

In this paper, we study the problem of restricting a square integrable representation of a connected semisimple Lie group to a reductive subgroup. Using a geometric method of restricting sections of a vector bundle to a submanifold, we obtain information about both the discrete and the continuous spectrum. We also show the (L2,L2)-continuity of the associated Berezin transform and that, under suitable general conditions, the Berezin transform is (L2,L2)-continuous for 1≤p≤∞

Citation

Download Citation

Jorge Vargas. Bent Ørsted. "Restriction of square integrable representations: Discrete spectrum." Duke Math. J. 123 (3) 609 - 633, 15 June 2004. https://doi.org/10.1215/S0012-7094-04-12336-X

Information

Published: 15 June 2004
First available in Project Euclid: 11 June 2004

zbMATH: 1056.22008
MathSciNet: MR2068970
Digital Object Identifier: 10.1215/S0012-7094-04-12336-X

Subjects:
Primary: 22E46
Secondary: 43A85

Rights: Copyright © 2004 Duke University Press

JOURNAL ARTICLE
25 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.123 • No. 3 • 15 June 2004
Back to Top