A logarithmic improvement in the two-point Weyl law for manifolds without conjugate points

In this paper, we study the two-point Weyl Law for the Laplace-Beltrami operator on a smooth, compact Riemannian manifold M with no conjugate points. That is, we find the asymptotic behavior of the Schwartz kernel, E_\lambda(x,y), of the projection operator from L^2(M) onto the direct sum of eigenspaces with eigenvalue... Show more