Sturm-Liouville operators with measure-valued coefficients
Spectral Theory
2013-08-14 v2 Mathematical Physics
math.MP
Abstract
We give a comprehensive treatment of Sturm-Liouville operators with measure-valued coefficients including, a full discussion of self-adjoint extensions and boundary conditions, resolvents, and Weyl-Titchmarsh theory. We avoid previous technical restrictions and, at the same time, extend all results to a larger class of operators. Our operators include classical Sturm-Liouville operators, Lax operators arising in the treatment of the Camassa-Holm equation, Jacobi operators, and Sturm-Liouville operators on time scales as special cases.
Cite
@article{arxiv.1105.3755,
title = {Sturm-Liouville operators with measure-valued coefficients},
author = {Jonathan Eckhardt and Gerald Teschl},
journal= {arXiv preprint arXiv:1105.3755},
year = {2013}
}
Comments
58 pages