On accelerants and their analogs, and on the characterization of the rectangular Weyl functions for Dirac systems with locally square-integrable potentials on a semi-axis
Spectral Theory2018-03-20v1Classical Analysis and ODEsFunctional Analysis
We characterize the set of rectangular Weyl matrix functions corresponding to Dirac systems with locally square-integrable potentials on a semi-axis and demonstrate a new way to recover the locally square-integrable potential from the Weyl function. Important interconnections between our approach and accelerants of convolution operators are discussed as well.
@article{arxiv.1611.00550,
title = {On accelerants and their analogs, and on the characterization of the rectangular Weyl functions for Dirac systems with locally square-integrable potentials on a semi-axis},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:1611.00550},
year = {2018}
}
Comments
The paper is a continuation of arXiv:1401.3605 and contains also generalizations of some results from arXiv:1106.1263