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Meromorphic extension of Green's functions and Poincaré series for geometrically finite hyperbolic manifolds

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If you have a question about this talk, please contact Neal Bez.

For quotients of real hyperbolic space by geometrically finite groups, we show that the Green’s function for the Laplacian has a meromorphic extension with respect to complex spectral parameter. This implies extension of Poincaré series of the group (joint work with R.Mazzeo).

This talk is part of the Analysis seminar series.

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