Square Integrable Representations of Unimodular Groups
Square Integrable Representations of Unimodular Groups
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.In [2], R. Godement proves that if a continuous …