NewEvery arXiv paper, its researchers & institutions — mapped.
paper

Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators

arXiv:1305.3099 · doi:10.1007/s00605-013-0563-5

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.

27 pages. arXiv admin note: substantial text overlap with arXiv:1110.2453, arXiv:1203.5856