A functional model, eigenvalues, and finite singular critical points for indefinite Sturm-Liouville operators
Spectral Theory
2012-03-06 v2
Abstract
Eigenvalues in the essential spectrum of a weighted Sturm-Liouville operator are studied under the assumption that the weight function has one turning point. An abstract approach to the problem is given via a functional model for indefinite Sturm-Liouville operators. Algebraic multiplicities of eigenvalues are obtained. Also, operators with finite singular critical points are considered.
Cite
@article{arxiv.0902.4900,
title = {A functional model, eigenvalues, and finite singular critical points for indefinite Sturm-Liouville operators},
author = {I. M. Karabash},
journal= {arXiv preprint arXiv:0902.4900},
year = {2012}
}
Comments
38 pages, Proposition 2.2 and its proof corrected, Remarks 2.5, 3.4, and 3.12 extended, details added in subsections 2.3 and 4.2, section 6 rearranged, typos corrected, references added