Pseudospectrum of Schwarzschild QNMs shows stability of the fundamental mode to infrared perturbations respecting asymptotics and instability of overtones to ultraviolet high-frequency perturbations.
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Proves rigorous O(L^{-2}) localization estimates for resonance spectra in a compactly supported transfer-function model of black-hole echoes with explicit normalizations.
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Pseudospectrum and black hole quasi-normal mode (in)stability
Pseudospectrum of Schwarzschild QNMs shows stability of the fundamental mode to infrared perturbations respecting asymptotics and instability of overtones to ultraviolet high-frequency perturbations.
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Black-Hole Echo Resonance Spectra and Source Dependence in a Controlled Transfer-Function Model
Proves rigorous O(L^{-2}) localization estimates for resonance spectra in a compactly supported transfer-function model of black-hole echoes with explicit normalizations.