"Dual integrability condition for unitary representations"Slamic, IvanaDual integrable representations form a large and important class among the unitary representations. The concept arose from the study of various reproducing function systems, and was first introduced for locally compact abelian groups. In recent years it has been studied for some specific classes of non-abelian groups, including the discrete and compact groups. Its main importance relies upon the existence of the associated bracket map, which can be futher used to study the properties of orbits or the invariant subspaces. We introduce and study the concept and related questions for the entire setting of locally compact groups. This is joint work with Hrvoje Sikic. |
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