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math.SP2021
Spectral Correspondences for Rank One Locally Symmetric Spaces -- The Case of Exceptional Parameters
Christian Arends, Joachim Hilgert
In this paper we complete the program of relating the Laplace spectrum for rank one compact locally symmetric spaces with the first band Ruelle-Pollicott resonances of the geodesic…
math.SP2021
Poisson Transforms for Trees of Bounded Degree
Kai-Uwe Bux, Joachim Hilgert, Tobias Weich
We introduce a parameterized family of Poisson transforms on trees of bounded degree, construct explicit inverses for generic parameters, and characterize moderate growth of Laplac…