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

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

2011-02-15

arxiv.org/abs/1102.2942v1

J. Math. Phys. 52 (2011), 063513 (17pp)

Mathematics

Spectral Theory

19 pages

Scientific paper

10.1063/1.3600542

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.

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