English

Szego condition, scattering, and vibration of Krein strings

Classical Analysis and ODEs 2023-05-23 v2

Abstract

We give a dynamical characterization of measures on the real line with finite logarithmic integral. The general case is considered in the setting of evolution groups generated by de Branges canonical systems. Obtained results are applied to the Dirac operators and Krein strings.

Keywords

Cite

@article{arxiv.2203.07132,
  title  = {Szego condition, scattering, and vibration of Krein strings},
  author = {R. Bessonov and S. Denisov},
  journal= {arXiv preprint arXiv:2203.07132},
  year   = {2023}
}

Comments

typos fixed, presentation improved