Almost everywhere convergence of spectral sums for self-adjoint operators

Peng Chen, Xuan Thinh Duong, Lixin Yan

Let $L$ be a non-negative self-adjoint operator acting on the space $L^2(X)$, where $X$ is a metric measure space. Let $L={\int }_0^{\infty }\lambda d{E}_L(\lambda )$ be the spectral resolution…