We establish simple connections between response functions of the dynamical Dirac systems and A-amplitudes and Weyl functions of the spectral Dirac systems. Using these connections we propose a new and rigorous procedure to recover a general-type dynamical Dirac system from its response function as well as a procedure to construct explicit solutions of this problem.
Cite
@article{arxiv.1507.00032,
title = {Dynamical and spectral Dirac systems: response function and inverse problems},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:1507.00032},
year = {2016}
}
Comments
Some explanations (see p.3 and Remark 4.2) and several references are added in this version