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.
@article{1448,
title = {Scattering Theory on Geometrically Finite Quotients with Rational Cusps},
journal = {CUBO, A Mathematical Journal},
volume = {11},
year = {2009},
language = {en},
url = {http://dml.mathdoc.fr/item/1448}
}
Guillarmou, Colin. Scattering Theory on Geometrically Finite Quotients with Rational Cusps. CUBO, A Mathematical Journal, Tome 11 (2009) . http://gdmltest.u-ga.fr/item/1448/