Research output: Contribution to journal › Article › peer-review
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 language | English |
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Pages (from-to) | 82-107 |
Number of pages | 26 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 478 |
Issue number | 1 |
Early online date | 9 May 2019 |
DOIs | |
State | Published - 1 Oct 2019 |
ID: 46130934