Geodesic
Solution of the Inverse Quasiperiodic Problem for the Dirac System
Matematičeskie zametki, Tome 89 (2011) no. 6, pp. 885-893

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We present a complete solution of the inverse problem of spectral analysis for the Dirac operator with quasiperiodic boundary conditions. We prove a uniqueness theorem for the solution of the inverse problem and obtain necessary and sufficient conditions for a sequence of real numbers to be the spectrum of a quasiperiodic Dirac problem.
Keywords: inverse spectral problem, Dirac operator, quasiperiodic Dirac problem, Lyapunov function, boundary-value problem, spectral data, Bernstein's inequality. 
@article{MZM_2011_89_6_a8,
     author = {I. M. Nabiev},
     title = {Solution of the {Inverse} {Quasiperiodic} {Problem} for the {Dirac} {System}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {885--893},
     publisher = {mathdoc},
     volume = {89},
     number = {6},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a8/}
}
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I. M. Nabiev. Solution of the Inverse Quasiperiodic Problem for the Dirac System. Matematičeskie zametki, Tome 89 (2011) no. 6, pp. 885-893. http://geodesic.mathdoc.fr/item/MZM_2011_89_6_a8/