Square Integrable Representations of Unimodular Groups

David S. Shucker
1983 Proceedings of the American Mathematical Society  
An elementary proof is given showing that if a continuous irreducible unitary representation of a locally compact unimodular group G has one nontrivial square integrable matrix entry, then all its matrix entries are square integrable. This result was first proved by R. Godement.
doi:10.2307/2045087 fatcat:zdtw4kiokzhrjp5lsymgfenzim