Dependence of the Weyl coefficient on singular interface conditions

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)

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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.

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• Item metadata

  Item type:	Article
  ID code:	13643
  Dates:	Date Event 28 May 2009 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Mrs Carolynne Westwood
  Date deposited:	08 Jan 2010 20:08
  Last modified:	08 Apr 2024 17:12
  URI:	https://strathprints.strath.ac.uk/id/eprint/13643