English

Analyticity and uniform stability in the inverse spectral problem for Dirac operators

Spectral Theory 2011-11-04 v1 Mathematical Physics Functional Analysis math.MP

Abstract

We prove that the inverse spectral mapping reconstructing the square integrable potentials on [0,1] of Dirac operators in the AKNS form from their spectral data (two spectra or one spectrum and the corresponding norming constants) is analytic and uniformly stable in a certain sense.

Keywords

Cite

@article{arxiv.1102.2942,
  title  = {Analyticity and uniform stability in the inverse spectral problem for Dirac operators},
  author = {Rostyslav O. Hryniv},
  journal= {arXiv preprint arXiv:1102.2942},
  year   = {2011}
}

Comments

19 pages

R2 v1 2026-06-21T17:26:14.693Z