Scattering Theory on Geometrically Finite Quotients with Rational Cusps
Author
Guillarmou, Colin
Abstract
We study Eisenstein functions and scattering operator on geometrically finite hyperbolic manifolds with infinite volume and ‘rational’ non-maximal rank cusps. For both we prove the meromorphic extension and we show that the scattering operator belongs to a certain class of pseudo-differential operators on the conformal infinity which is a manifold with fibred boundaries.