Resonances of third order differential operators

Research output


We consider resonances for third order ordinary differential operators with compactly supported coefficients on the real line. Resonance are defined as zeros of a Fredholm determinant on a non-physical sheet of three sheeted Riemann surface. We determine upper bounds of the number of resonances in complex discs at large radius. We express the trace formula in terms of resonances only.

Original languageEnglish
Pages (from-to)82-107
JournalJournal of Mathematical Analysis and Applications
Issue number1
Early online date9 May 2019
Publication statusPublished - 1 Oct 2019

Scopus subject areas

  • Analysis
  • Applied Mathematics

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