Scattering Theory on Geometrically Finite Quotients with Rational Cusps
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Colin Guillarmou
cguillar@math.unice.fr
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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.
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