Half-inverse spectral problems for Sturm--Liouville operators with singular potentials
Spectral Theory
2007-05-23 v1 Classical Analysis and ODEs
Abstract
Half-inverse spectral problem for a Sturm--Liouville operator consists in reconstruction of this operator by its spectrum and half of the potential. We give the necessary and sufficient conditions for solvability of the half-inverse spectral problem for the class of Sturm--Liouville operators with singular potentials from the space and provide the reconstruction algorithm.
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Cite
@article{arxiv.math/0312184,
title = {Half-inverse spectral problems for Sturm--Liouville operators with singular potentials},
author = {Rostyslav O. Hryniv and Yaroslav V. Mykytyuk},
journal= {arXiv preprint arXiv:math/0312184},
year = {2007}
}
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21 pages