3 problems

Let $G$ act on a space with an invariant subset $\Omega_{rc}$, and let $U$ be a measurable subset indexing the quasiregular subrepresentation $\pi_U$. An admissible vector for…

Let $D$ be the unit disc, let $\mathcal{A}_0$ be the space appearing above, and let $R(f,\Omega)$ denote the associated quotient for a domain $\Omega\subset D$. Domains with radial…

Let $(\psi_j)_{0\leq j\leq J}$ be a family of wavelets with $\hat\psi_j[k]=\hat\psi(a^jk)$, where $a\in(1,+\infty)$ is a dilation factor and $\psi:\mathbb{R}\to\mathbb{C}$ is a mot…