Resonances for Manifolds Hyperbolic Near Infinity: Optimal Lower Bounds on Order of Growth

DOI10.1093/imrn/rnq249zbMath1228.53045arXiv1005.5400OpenAlexW2962696827MaRDI QIDQ3097878

David Borthwick, Tanya Christiansen, Peter D. Hislop, Peter A. Perry

Publication date: 10 November 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.5400

zbMATH Keywords

Poisson functionspectral counting functionoptimal lower boundsb-integralhyperbolic near infinityresolvant resonances

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

A sharp lower bound for a resonance-counting function in even dimensions ⋮ Resonance asymptotics for Schrödinger operators on hyperbolic space

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