T. Kobayashi,

*Discrete decomposability of the restriction of
A*_{q}(λ) *with respect to reductive subgroups II
— micro-local analysis and asymptotic K*-*support*,

Annals of Math.**147** (1998),
no. 3, 709-729..

Annals of Math.

LetG'⊂Gbe real reductive Lie groups. This paper offers a criterion on the triplet (G,G', π) that the irreducible unitary representation π ofGsplits into a discrete sum of irreducible unitary representations of a subgroupG'when restricted toG', each of finite multiplicity. Furthermore, we shall give an upper estimate of the multiplicity of an irreducible unitary representation ofG'occurring in π|_{G'}.

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The original publication is available at links.jstor.org.

© Toshiyuki Kobayashi