Abstract.
We present a wave group version of the Selberg trace formula for an arbitrary surface of finite geometry. As an application we give a new lower bound on the number of resonances for hyperbolic surfaces. Motivated by recent results we formulate a conjecture on a lower bound for the counting function of resonances in a strip.
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Submitted: July 1998, revised: March 1999.
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Guillopé, L., Zworski, M. The Wave Trace for Riemann Surfaces . GAFA, Geom. funct. anal. 9, 1156–1168 (1999). https://doi.org/10.1007/s000390050110
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DOI: https://doi.org/10.1007/s000390050110