# Spectral Theory Seminar

### A theorem on the spectral asymptotics of ${P}^{1/m}$, on a compact manifold, where $P$ is an elliptic, self-adjoint linear partial differential operator of order $m$

We will use the methods reviewed in the previous lectures, in order to study the asymptotical behavior of the eigenvalues of a particular elliptic, self-adjoint operator.