Inverse problem for Dirac systems with locally square-summable potentials and rectangular Weyl functions
Classical Analysis and ODEs
2016-11-03 v1 Spectral Theory
Abstract
Inverse problem for Dirac systems with locally square summable potentials and rectangular Weyl functions is solved. For that purpose we use a new result on the linear similarity between operators from a subclass of triangular integral operators and the operator of integration.
Keywords
Cite
@article{arxiv.1401.3605,
title = {Inverse problem for Dirac systems with locally square-summable potentials and rectangular Weyl functions},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:1401.3605},
year = {2016}
}
Comments
Some of the main results from [16] (A. Sakhnovich, Inverse Problems 18 (2002), 331--348) and the submitted to ArXiv papers[2] and [5] (see arXiv:0912.4444 and arXiv:1106.1263) are generalized for the case of the locally square-summable potentials and rectangular Weyl functions