JournalsjstVol. 5, No. 3pp. 599–615

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
Resonances and lower resolvent bounds cover
Download PDF

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