Inverse spectral problems for Sturm--Liouville operators with matrix-valued potentials

Abstract

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.

39 pages, uses iopart.cls, iopams.sty and setstack.sty by IOP

References in corpus (1)

• The inverse problem for perturbed harmonic oscillator on the half-line with Dirichlet boundary conditions

Cited by in corpus (4)

• Linear differential operators with distribution coefficients of various singularity orders
• Inverse spectral problems for Dirac operators on a finite interval
• Reconstruction of higher-order differential operators by their spectral data
• Inverse spectral problems for Dirac operators with summable matrix-valued potentials