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Absence of the absolutely continuous spectrum of a first-order non-selfadjoint Dirac-like system for slowly decaying perturbations

Marco Marletta School of Mathematics, Cardiff University Roman Romanov School of Computer Science, Cardiff University

TBD mathscidoc:1701.333071

Arkiv for Matematik, 44, (1), 132-148, 2004.8
We prove that the absolutely continuous subspace of the completely non-selfadjoint part of a first-order dissipative Dirac-like system is trivial when the imaginary part of the potential is non-integrable.
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@inproceedings{marco2004absence,
  title={Absence of the absolutely continuous spectrum of a first-order non-selfadjoint Dirac-like system for slowly decaying perturbations},
  author={Marco Marletta, and Roman Romanov},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203615984056880},
  booktitle={Arkiv for Matematik},
  volume={44},
  number={1},
  pages={132-148},
  year={2004},
}
Marco Marletta, and Roman Romanov. Absence of the absolutely continuous spectrum of a first-order non-selfadjoint Dirac-like system for slowly decaying perturbations. 2004. Vol. 44. In Arkiv for Matematik. pp.132-148. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203615984056880.
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