Density of resonances for covers of Schottky surfaces

We investigate how bounds of resonance counting functions for Schottky surfaces behave under transitions to covering surfaces of finite degree. We consider the classical resonance counting function asking for the number of resonances in large (and growing) disks centered at the origin of $\mathcal C...

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Veröffentlicht in:	Journal of spectral theory 2020-01, Vol.10 (3), p.1053-1101
Hauptverfasser:	Pohl, Anke, Soares, Louis
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamical systems and ergodic theory Functions (Mathematics) Global analysis, analysis on manifolds Mathematical research Number theory Surfaces (Geometry)
Online-Zugang:	Volltext
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