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.
Cite this article
Kiril Datchev, Semyon Dyatlov, Maciej Zworski, Resonances and lower resolvent bounds. J. Spectr. Theory 5 (2015), no. 3, pp. 599–615DOI 10.4171/JST/108