Inverse spectral problems for Dirac operators with summable potentials
S. Albeverio, R. Hryniv, Ya. Mykytyuk
Abstract
The spectral properties of Dirac operators on (0,1) with potentials that belong entrywise to Lp(0,1), for some p∈[1,∞), are studied. The algorithm of reconstruction of the potential from two spectra or from one spectrum and the corresponding norming constants is established, and a complete solution of the inverse spectral problem is provided.
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