Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators
Spectral Theory
2014-07-23 v2 Mathematical Physics
math.MP
Abstract
We develop singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators. In particular, we establish existence of a spectral transformation as well as local Borg-Marchenko and Hochstadt-Liebermann type uniqueness results. Finally, we give some applications to the case of radial Dirac operators.
Cite
@article{arxiv.1305.3099,
title = {Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators},
author = {Rainer Brunnhuber and Jonathan Eckhardt and Aleksey Kostenko and Gerald Teschl},
journal= {arXiv preprint arXiv:1305.3099},
year = {2014}
}
Comments
27 pages. arXiv admin note: substantial text overlap with arXiv:1110.2453, arXiv:1203.5856