We consider a symmetric space
(G,K,σ) where G is a Lie group, K a closed subgroup, and σ the involutive
automorphism defining the space. A local representation π is defined for g in a
neighborhood of e in G, and the operator π(g) is unbounded and defined on a dense
subspace in a Hilbert space where the identity
holds. We study analytic continuations of π to unitary representations of a group G∗
which is dual to G.
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