Inverse spectral problems for Sturm–Liouville operators with matrix-valued potentials
Inverse spectral problems for Sturm–Liouville operators with matrix-valued potentials
We give a complete description of the set of spectral data (eigenvalues and specially introduced norming constants) for Sturm--Liouville operators on the interval $[0,1]$ with matrix-valued potentials in the Sobolev space $W_2^{-1}$ and suggest an algorithm reconstructing the potential from the spectral data that is based on Krein's accelerant method.