2 problems

Let $\varphi$ be a scalar-valued refinable function satisfying the refinement equation … where $\alpha$ is a PV number, $a$ decays exponentially fast, and $\tau$ takes values in…

Let $\alpha$ be a PV number, let $\varphi$ be a nonzero compactly supported scalar-valued solution of a refinement equation … where $a$ has finite support and sums to $|\alpha|$. T…