Dependence of the Weyl coefficient on singular interface conditions

M. Langer, Harald Woracek

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.
LanguageEnglish
Pages445-487
Number of pages43
JournalProceedings of the Edinburgh Mathematical Society
Volume52
Issue number2
DOIs
Publication statusPublished - 28 May 2009

Fingerprint

Indefinite Systems
Canonical System
Interface Conditions
Bessel's equation
Singularity
Positive Definite Functions
Sturm-Liouville Equation
Parameterise
Coefficient
Continuation
Explicit Formula
Influence

Keywords

  • indefinite canonical system
  • Weyl coefficient
  • singular potential

Cite this

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Dependence of the Weyl coefficient on singular interface conditions. / Langer, M.; Woracek, Harald.

In: Proceedings of the Edinburgh Mathematical Society, Vol. 52, No. 2, 28.05.2009, p. 445-487.

Research output: Contribution to journalArticle

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