## Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

# Discrete Decomposability of the Restriction of A q (λ) with Respect to Reductive Subgroups II: Micro-Local Analysis and Asymptotic K-Support

Toshiyuki Kobayashi
Annals of Mathematics
Second Series, Vol. 147, No. 3 (May, 1998), pp. 709-729
DOI: 10.2307/120963
Stable URL: http://www.jstor.org/stable/120963
Page Count: 21
Preview not available

## Abstract

Let G$^{\prime}\subset$ G be real reductive Lie groups. This paper offers a criterion on the triplet (G, G′, π ) that the irreducible unitary representation π of G splits into a discrete sum of irreducible unitary representations of a subgroup G′ when restricted to G′, each of finite multiplicity. Furthermore, we shall give an upper estimate of the multiplicity of an irreducible unitary representation of G′ occurring in π|G′.

• [709]
• 710
• 711
• 712
• 713
• 714
• 715
• 716
• 717
• 718
• 719
• 720
• 721
• 722
• 723
• 724
• 725
• 726
• 727
• 728
• 729