Speaker
Dmitrii Mokeev
(Higher School of Economics)
Description
We consider massless Dirac operators on the half-line with compactly supported potentials. We solve the inverse problems in terms of Jost function and scattering matrix (including characterization). We study resonances as zeros of Jost function and prove that they uniquely determine a potential of the Dirac operator. We also estimate the forbidden domain for resonances and determine asymptotics of resonance counting function. At last we show how these results are applied to canonical systems. The talk is based on joint work with Evgeny Korotyaev.
Primary author
Dmitrii Mokeev
(Higher School of Economics)
Co-author
Prof.
Evgeny Korotyaev
(St Petersburg University, Higher school of economics)
