Resonances and lower resolvent bounds

  • Kiril Datchev

    Massachusetts Institute of Technology, Cambridge, USA
  • Semyon Dyatlov

    Massachusetts Institute of Technology, Cambridge, USA
  • Maciej Zworski

    University of California, Berkeley, USA

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.

Cite this article

Kiril Datchev, Semyon Dyatlov, Maciej Zworski, Resonances and lower resolvent bounds. J. Spectr. Theory 5 (2015), no. 3, pp. 599–615

DOI 10.4171/JST/108