Mark Krein's Method of Directing Functionals and Singular Potentials
Spectral Theory
2011-11-01 v1
Abstract
It is shown that M. Krein's method of directing functionals can be used to prove the existence of a scalar spectral measure for certain Sturm-Liouville equations with two singular endpoints. The essential assumption is the existence of a solution of the equation that is square integrable at one singular endpoint and depends analytically on the eigenvalue parameter.
Keywords
Cite
@article{arxiv.1110.6709,
title = {Mark Krein's Method of Directing Functionals and Singular Potentials},
author = {Charles Fulton and Heinz Langer and Annemarie Luger},
journal= {arXiv preprint arXiv:1110.6709},
year = {2011}
}
Comments
8 pages