Inverse spectral problems for Dirac operators with summable potentials

S. Albeverio; R. Hryniv; Ya. Mykytyuk

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Inverse spectral problems for Dirac operators with summable potentials

S. Albeverio·R. Hryniv·Ya. Mykytyuk

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Abstract

The spectral properties of Dirac operators on $(0,1)$ with potentials that belong entrywise to $L_p(0,1)$, for some $p\in[1,\infty)$, 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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BibTeX RIS

S. Albeverio, R. Hryniv, Ya. Mykytyuk. 2007-01-05. Inverse spectral problems for Dirac operators with summable potentials. https://arxiv.org/abs/math/0701158

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