Dependence of the Weyl coefficient on singular interface conditions

Tools

Langer, M. and Woracek, Harald (2009) Dependence of the Weyl coefficient on singular interface conditions. Proceedings of the Edinburgh Mathematical Society, 52 (2). pp. 445-487. ISSN 0013-0915 (https://doi.org/10.1017/S0013091507000806)

[thumbnail of langer_woracek09.pdf] PDF. Filename: langer_woracek09.pdf
Final Published Version
Restricted to Registered users only
Download (357kB) | Request a copy

Abstract

We investigate the influence of interface conditions at a singularity of an indefinite canonical system on its Weyl coefficient. An explicit formula which parameterizes all possible Weyl coefficients of indefinite canonical systems with fixed Hamiltonian function is derived. This result is illustrated with two examples: the Bessel equation, which has a singular endpoint, and a Sturm-Liouville equation whose potential has an inner singularity, which arises from a continuation problem for a positive definite function.

ORCID iDs

Langer, M. ORCID logoORCID: https://orcid.org/0000-0001-8813-7914 and Woracek, Harald;
CORE (COnnecting REpositories)