Resonances of third order differential operators
Mathematical Physics
2016-05-09 v1 math.MP
Spectral Theory
Abstract
We consider resonances for third order ordinary differential operator 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.
Cite
@article{arxiv.1605.01842,
title = {Resonances of third order differential operators},
author = {Evgeny Korotyaev},
journal= {arXiv preprint arXiv:1605.01842},
year = {2016}
}
Comments
24 pages, 1 figure