A note on the resonance counting function for surfaces with cusps

DOI10.4171/JST/121zbMath1338.35315arXiv1405.5445MaRDI QIDQ294066

Yannick Bonthonneau

Publication date: 9 June 2016

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.5445

zbMATH Keywords

resonancesWeyl lawsurfaces with cusps

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Cites Work

• Fractal Weyl laws for asymptotically hyperbolic manifolds
• Fractal upper bounds on the density of semiclassical resonances
• Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces
• The Selberg zeta function for convex co-compact Schottky groups
• Breit-Wigner approximation and the distribution of resonances
• Spectral asymptotics of Laplace operators on surfaces with cusps
• Scattering Theory for Automorphic Functions. (AM-87)

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