Square-integrable representations and the Mackey theory

Sund, Terje

doi:10.1090/S0002-9947-1974-0344376-1

Square-integrable representations and the Mackey theory
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Trans. Amer. Math. Soc. 194 (1974), 131-139 Request permission

Abstract:

It is the purpose of this paper to clarify the relationship between the square-integrable irreducible representations of a 2nd countable unimodular locally compact group G and a closed normal subgroup N using the Mackey theory relating the dual spaces $\hat G$ and $\hat N$.

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L’intégration dans les groupes topologiques et ses applications