The expansion of the resolvent near a singular stratum of conical type (Q1174982)

The authors consider a second order, formally self-adjoint elliptic operator \(\Delta\) with scalar principle symbol, on a manifold, having ``conic'' singularities along a compact submanifold. By considering first another ``normal'' operator whose inverse provides the first term in a Neumann series for the given operator --- thought of as a perturbation of the normal operator --- it becomes possible to represent \(tr(\Delta+\lambda)^{-m}\), \(\lambda\to\infty\), as an integral for suitably large \(m\), \((\Delta+\lambda)^{-m}\) being shown to be of trace class.