Stability for the inverse resonance problem for the CMV operator
Spectral Theory
2013-01-23 v1 Mathematical Physics
math.MP
Abstract
For the class of unitary CMV operators with super-exponentially decaying Verblunsky coefficients we give a new proof of the inverse resonance problem of reconstructing the operator from its resonances - the zeros of the Jost function. We establish a stability result for the inverse resonance problem that shows continuous dependence of the operator coefficients on the location of the resonances.
Cite
@article{arxiv.1301.5078,
title = {Stability for the inverse resonance problem for the CMV operator},
author = {Roman Shterenberg and Rudi Weikard and Maxim Zinchenko},
journal= {arXiv preprint arXiv:1301.5078},
year = {2013}
}