Discrete Dirac systems on the semiaxis: rational reflection coefficients and Weyl functions
Spectral Theory
2020-07-03 v1 Mathematical Physics
math.MP
Abstract
We consider the cases of the self-adjoint and skew-self-adjoint discrete Dirac systems, obtain explicit expressions for reflection coefficients and show that rational reflection coefficients and Weyl functions coincide.
Keywords
Cite
@article{arxiv.1806.03632,
title = {Discrete Dirac systems on the semiaxis: rational reflection coefficients and Weyl functions},
author = {B. Fritzsche and B. Kirstein and I. Ya. Roitberg and A. L. Sakhnovich},
journal= {arXiv preprint arXiv:1806.03632},
year = {2020}
}
Comments
In this paper, we derive discrete analogs of some results on reflection coefficients from arXiv:1801.10020