3 problems

Let $\mathcal H$ be a separable complex Hilbert space, let $A$ be a self-adjoint, not necessarily bounded, operator on $\mathcal H$, let $B\in\mathcal S^1(\mathcal H)$ be self-adjo…

Shulman's conjecture. If

Let $U(t)$ be the Dirichlet-to-Neumann semigroup and let $V_{\gamma,\partial\Omega}(t/n)^n$ be its approximants, acting on the boundary Hilbert space $\partial\mathcal{H}$. Let…