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arxiv: 1102.2942 · v1 · pith:M2T55GUFnew · submitted 2011-02-15 · 🧮 math.SP · math-ph· math.FA· math.MP

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

classification 🧮 math.SP math-phmath.FAmath.MP
keywords spectraldiracinverseoperatorsaknsanalyticanalyticitycertain
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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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