2 problems

Let $G$ be a finite reflection group. For a subset $S\subset\mathfrak a$, let ${\mathcal D}(S)$ denote the smooth compactly supported functions with support contained in $S$. For a…

Positivity conjecture. For every such $\a$ and $\b$, there exists a probability measure on $N$-tuples $\c=(c_1\le\dots\le c_N)$ satisfying the identity for all…