For groups that are semidirect products of a vector groupand a unimodular group, we prove that the existence of a discrete frameassociated with a unitary representation implies the square-integrabilityof the representation.
On discrete frames associated with semidirect products
CASSINELLI, GIOVANNI;DE VITO, ERNESTO;
2001-01-01
Abstract
For groups that are semidirect products of a vector groupand a unimodular group, we prove that the existence of a discrete frameassociated with a unitary representation implies the square-integrabilityof the representation.
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