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Resonances for asymptotically hyperbolic manifolds: Vasy’s method revisited
We revisit Vasy’s method ([27] and [28]) for showing meromorphy of the resolvent for (even) asymptotically hyperbolic manifolds. It provides an effective definition of resonances in that setting by identifying them with poles of inverses of a family of Fredholm differential operators. In the Euclidean case the method of complex …