Analyticity and uniform stability in the inverse spectral problem for impedance Sturm-Liouville operators

R. O. Hryniv


We prove that the inverse spectral mapping reconstructing the impedance function of the Sturm-Liouville operators on [0; 1] in impedance 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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