2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136920I derive sharp semiclassical asymptotics of $\int |e_h(x,y,0)|^2ω(x,y) dx dy$ where $e_h(x,y,τ)$ is the Schwartz kernel of the spectral projector and $ω(x,y)$ is singular as $x=y$. I also consider asymptotics of more general expressions.25 ppAnalysis of PDEsSpectral Theory35P20text