Guo Chen

Prolate Leakage and Near-Zero Spectral Clusters of the Semilocal Weil Operator

For $\lambda>1$ let $A_\lambda$ be the self-adjoint operator on $L^2([\lambda^{-1},\lambda],du/u)$ that represents the semilocal Weil quadratic form, including the archimedean place, all prime powers up to $\lambda^2$ and the pole terms; it has compact resolvent. We prove that fo...