English

Weyl functions of Dirac systems and of their generalizations: integral representation, inverse problem, and discrete interpolation

Classical Analysis and ODEs 2012-11-29 v1 Spectral Theory

Abstract

Self-adjoint Dirac systems and subclasses of canonical systems, which generalize Dirac systems are studied. Explicit and global solutions of direct and inverse problems are obtained. A local Borg-Marchenko-type theorem, integral representation of the Weyl function, and results on interpolation of Weyl functions are also derived.

Keywords

Cite

@article{arxiv.1007.4304,
  title  = {Weyl functions of Dirac systems and of their generalizations: integral representation, inverse problem, and discrete interpolation},
  author = {B. Fritzsche and B. Kirstein and A. L. Sakhnovich},
  journal= {arXiv preprint arXiv:1007.4304},
  year   = {2012}
}