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math.DS2021
Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems
Sonja Barkhofen, Philipp Schütte, Tobias Weich
In this article we prove meromorphic continuation of weighted zeta functions in the framework of open hyperbolic systems by using the meromorphically continued restricted resolvent…
math.DS2021★ 1 cited
Resonances and weighted zeta functions for obstacle scattering via smooth models
Benjamin Delarue, Philipp Schütte, Tobias Weich
We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experie…