A note on the resonance counting function for surfaces with cusps
Yannick Bonthonneau
Université du Québec à Montréal, Canada
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Abstract
We prove sharp upper bounds for the number of resonances in boxes of size 1 at high frequency for the Laplacian on finite volume surfaces with hyperbolic cusps. As a corollary, we obtain a Weyl asymptotic for the number of resonances in balls of size with remainder .
Cite this article
Yannick Bonthonneau, A note on the resonance counting function for surfaces with cusps. J. Spectr. Theory 6 (2016), no. 1, pp. 137–144
DOI 10.4171/JST/121