Weyl-Titchmarsh M-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators

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dc.creatorClark, Steve
dc.creatorGesztesy, Fritz
dc.date2001-02-06
dc.date.accessioned2026-07-07T04:39:59Z
dc.date.available2026-07-07T04:39:59Z
dc.descriptionWe explicitly determine the high-energy asymptotics for Weyl-Titchmarsh matrices associated with general Dirac-type operators on half-lines and on $\bbR$. We also prove new local uniqueness results for Dirac-type operators in terms of exponentially small differences of Weyl-Titchmarsh matrices. As concrete applications of the asymptotic high-energy expansion we derive a trace formula for Dirac operators and use it to prove a Borg-type theorem.
dc.descriptionLaTeX, 57 pages
dc.identifierhttps://arxiv.org/abs/math/0102040
dc.identifierhttp://arxiv.org/abs/math/0102040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60895
dc.subjectSpectral Theory
dc.titleWeyl-Titchmarsh M-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators
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