Inverse spectral problems for Dirac operators with summable potentials

Details Inverse spectral problems for Dirac operators with summable potentials Inverse spectral problems for Dirac operators with summable potentials

2007-01-05

arxiv.org/abs/math/0701158v1

Russian J. Math. Phys. 12 (2005), no. 4, 406-423

Mathematics

Spectral Theory

25 pages

Scientific paper

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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