Inverse spectral problems for Sturm--Liouville operators with matrix-valued potentials
Spectral Theory
2015-05-13 v1 Functional Analysis
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 with matrix-valued potentials in the Sobolev space and suggest an algorithm reconstructing the potential from the spectral data that is based on Krein's accelerant method.
Keywords
Cite
@article{arxiv.0907.5217,
title = {Inverse spectral problems for Sturm--Liouville operators with matrix-valued potentials},
author = {Ya. V. Mykytyuk and N. S. Trush},
journal= {arXiv preprint arXiv:0907.5217},
year = {2015}
}
Comments
39 pages, uses iopart.cls, iopams.sty and setstack.sty by IOP