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M. Langer, H. Woracek:
"Dependence of the Weyl coefficient on singular interface conditions";
in: "ASC Report 03/2008", herausgegeben von: Institut für Analysis und Scientific Computing; Vienna University of Technology, Wien, 2008, ISBN: 978-3-902627-01-8.

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.

indefinite canonical system, Weyl coefficient, singular potential

http://www.asc.tuwien.ac.at/preprint/2008/asc03x2008.pdf