Inverse spectral problems for Dirac operators with summable matrix-valued potentials

Abstract

We consider the direct and inverse spectral problems for Dirac operators on (0,1) with matrix-valued potentials whose entries belong to Lp(0,1), p∈[1,∞). We give a complete description of the spectral data (eigenvalues and suitably introduced norming matrices) for the operators under consideration and suggest a method for reconstructing the potential from the corresponding spectral data.

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