Resonances and lower resolvent bounds

Abstract

We show how the presence of resonances close to the real axis implies exponential lower bounds on the norm of the cut-off resolvent on the real axis.

13 pages, 3 figures

References in corpus (1)

• Effective limiting absorption principles, and applications

Cited by in corpus (7)

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• Semiclassical Estimates for Scattering on the Real Line
• Improved Resolvent Bounds for Radial Potentials
• Mathematical Study of Scattering Resonances
• Lower resolvent bounds and Lyapunov exponents
• Semiclassical resolvent bound for compactly supported $L^{\infty }$ potentials
• Semi-classical resolvent estimates for short-range l $\infty$ potentials. II