3 problems

Let $\vb{M}$ be a rotationally invariant random matrix of size $N$ with a non-pathological limiting spectral density. For $z$ outside the spectrum of $\vb{M}$, define … Let…

Resolvent starlikeness conjecture. Every mapping $G_\lambda$ is starlike of order at least $\frac12$. Furthermore, the order of starlikeness of $G_\lambda$ tends to $1$ as…

Let $K$ be an abstract Klein-Gordon operator on $L^2(\mathbb{R},\mathcal K)$, and let $R_z(t,s)$ and $\mathcal Z_{\pm,z}^{(\pm)}(t)$ be the evolution and asymptotic subspaces defin…