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
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
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