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We explicitly determine the high-energy asymptotics for Weyl-Titchmarshmatrices associated with general Dirac-type operators on half-lines and on$\bbR$. We also prove new local uniqueness results for Dirac-type operators interms of exponentially small differences of Weyl-Titchmarsh matrices. Asconcrete applications of the asymptotic high-energy expansion we derive a traceformula for Dirac operators and use it to prove a Borg-type theorem.

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