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arXiv · 1105.3755

Sturm-Liouville operators with measure-valued coefficients

Jonathan Eckhardt·Gerald Teschl
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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.

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BibTeXRIS

Jonathan Eckhardt, Gerald Teschl. 2013-08-12. Sturm-Liouville operators with measure-valued coefficients. https://doi.org/10.1007/s11854-013-0018-x

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