3 problems

Let $G$ be a Hermitian locally compact group, let $\widehat{G}$ denote its irreducible representations, and for $\pi\in\widehat{G}$ and a unit vector $\xi\in\mathcal{H}_\pi$ define…

Let $G$ be a Hermitian locally compact group. For a representation $pi$ of $G$ and a unit vector $xi$ in its representation space $\mathcal{H}_pi$, define … and, for $f\in L^1(G)$,…

Spectrally reasonable measures conjecture.