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On inverse spectral problems for self-adjoint Dirac operators with general boundary conditions. (English) Zbl 1313.34047

The author considers selfadjoint Dirac operators with integrable matrix-valued potentials and general boundary conditions. In the inverse problem, the potential and the boundary conditions are reconstructed from the spectrum and suitably defined norming matrices. The approach includes reducing the problem to that one for the case of separated boundary conditions, and then applying the Krein accelerant method; for the latter see [Ya. V. Mykytyuk and D. V. Puyda, J. Math. Anal. Appl. 386, No. 1, 177–194 (2012; Zbl 1264.34025); D. V. Puyda, Integral Equations Oper. Theory 74, No. 3, 417–450 (2012; Zbl 1268.34042)].

MSC:

34A55 Inverse problems involving ordinary differential equations
34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)
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