The Bergman kernel on polarized complex hyperbolic manifolds equals a sum over geodesic loops, yielding max/min results and off-diagonal estimates.
Hejhal, The Selberg trace formula forP SL(2, R), Volume I.Springer Berlin, Heidelberg
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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.