A Sub-Density Theorem of Sturm-Liouville Eigenvalue Problem with Finitely Many Singularities
Functional Analysis
2017-03-03 v1 Classical Analysis and ODEs
Abstract
We study the distribution of the Sturm-Liouville eigenvalues of a potential with finitely many singularities. There is an asymptotically periodical structure on this class of eigenvalues as described by the entire function theory. We describe the singularities of its potential function explicitly in its eigenvalue asymptotics.
Keywords
Cite
@article{arxiv.1703.00630,
title = {A Sub-Density Theorem of Sturm-Liouville Eigenvalue Problem with Finitely Many Singularities},
author = {Lung-Hui Chen},
journal= {arXiv preprint arXiv:1703.00630},
year = {2017}
}