Spectral and Scattering Theory for the Laplacian on Asymptotically Euclidian Spaces

摘要: There are many approaches to conventional Euclidian scattering theory. In this exposition an essentially microlocal view is adopted. Apart from its intrinsic interest intended as preparation for later generalization, more complicated geometric settings. fact, the treatment given here extends beyond usual confines of theory in that spectral and theory, at least elementary part, covered Laplacian associated a ‘scattering metric’ on any compact manifold with boundary. By metric boundary,X, we shall mean Riemann interior X which can be brought form