English

Skew-self-adjoint discrete and continuous Dirac type systems: inverse problems and Borg-Marchenko theorems

Spectral Theory 2007-05-23 v1 Mathematical Physics math.MP

Abstract

New formulas on the inverse problem for the continuous skew-self-adjoint Dirac type system are obtained. For the discrete skew-self-adjoint Dirac type system the solution of a general type inverse spectral problem is also derived in terms of the Weyl functions. The description of the Weyl functions on the interval is given. Borg-Marchenko type uniqueness theorems are derived for both discrete and continuous non-self-adjoint systems too.

Keywords

Cite

@article{arxiv.math/0511594,
  title  = {Skew-self-adjoint discrete and continuous Dirac type systems: inverse problems and Borg-Marchenko theorems},
  author = {Alexander Sakhnovich},
  journal= {arXiv preprint arXiv:math/0511594},
  year   = {2007}
}
R2 v1 2026-07-22T17:27:50.356Z