The Bergman kernel on polarized complex hyperbolic manifolds equals a sum over geodesic loops, yielding max/min results and off-diagonal estimates.
Off-diagonal estimates of the bergman kernel on hyperbolic riemann surfaces of finite volume.Proceedings of the American Mathe- matical Society, 146(9):4009–4020
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On the Bergman Kernel of complex hyperbolic manifolds
The Bergman kernel on polarized complex hyperbolic manifolds equals a sum over geodesic loops, yielding max/min results and off-diagonal estimates.