2 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 $\varphi$ 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…