3 problems

Let $Wf(z)$ be the Wigner distribution of some function $f\in L^2(\mathbb{R})$, with bounded nodal set $\mathcal{N}(Wf)$, and suppose that $Wf$ is centered at $z=0$. For a Hermite…

Let $h_n(x)$ and $F_n(x)=h_n(x)/h_{n+1}(x)$ be the ratios considered above, and let $g_{\alpha,\beta}(x)$ denote the comparison function introduced in the paper. Hermite-ratio uppe…

Rotational invariance conjecture. The following are equivalent: