On inverse spectral problems for self-adjoint Dirac operators with general boundary conditions (Q2877325)

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 [\textit{Ya. V. Mykytyuk} and \textit{D. V. Puyda}, J. Math. Anal. Appl. 386, No. 1, 177--194 (2012; Zbl 1264.34025); \textit{D. V. Puyda}, Integral Equations Oper. Theory 74, No. 3, 417--450 (2012; Zbl 1268.34042)].