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
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Cited by in corpus (7)
- Spectral asymptotics for canonical systems
- On Spectral Deformations and Singular Weyl Functions for One-Dimensional Dirac Operators
- Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints
- Scattering for general-type Dirac systems on the semi-axis: reflection coefficients and Weyl functions
- Localization for one-dimensional Anderson-Dirac models
- Resolvent and spectrum for discrete symplectic systems in the limit point case
- Evolution of Weyl functions and initial-boundary value problems