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

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

2009-07-29

arxiv.org/abs/0907.5217v1

Mathematics

Spectral Theory

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

Scientific paper

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.

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