A note on the resonance counting function for surfaces with cusps
Spectral Theory
2017-12-25 v1
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
@article{arxiv.1405.5445,
title = {A note on the resonance counting function for surfaces with cusps},
author = {Yannick Bonthonneau},
journal= {arXiv preprint arXiv:1405.5445},
year = {2017}
}