Completion problems and scattering problems for Dirac type differential equations with singularities
Spectral Theory
2011-04-05 v2 Functional Analysis
Abstract
A completion problem to recover a rational matrix function which is j-unitary on the line is treated. A Dirac type system with singularities on the semiaxis is recovered explicitly by its left reflection coefficient. The close connection between these two problems is discussed.
Cite
@article{arxiv.math/0409424,
title = {Completion problems and scattering problems for Dirac type differential equations with singularities},
author = {Bernd Fritzsche and Bernd Kirstein and Alexander Sakhnovich},
journal= {arXiv preprint arXiv:math/0409424},
year = {2011}
}