6 problems

Let $G$ be the group under consideration, and call a real-analytic subset of $G$ simple if it is contained in a finite union of sets of the form … with $\chi\in\widehat G$ and…

Let $G$ be the relevant group and let $\mathcal T^n$ denote the torus arising in the construction of multivariable refinable functions. For $\chi\in\widehat G$ and…

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…

A refinable distribution is a distribution satisfying the refinement equation associated with a dilation and translations; in this paper, scalar-valued means that the distribution…

Let $\varphi$ be a refinable function, and suppose that its local Hölder exponent is constant and equal to $\alpha$. Constant local Hölder exponent conjecture. Then … The paper stu…