Uniqueness results for skew‐self‐adjoint Dirac system with rectangular potential

Tiezheng Li

Mathematische Nachrichten, 2025, vol. 298, issue 12, 3816-3831

Abstract: The expression for the Weyl–Titchmarsh function is presented for skew‐self‐adjoint Dirac systems with rectangular potentials. As a specific application of this expression, we provide a new proof of the celebrated local Borg–Marchenko uniqueness theorem. Furthermore, we establish the high‐energy asymptotic expansion of the Weyl function and the local uniqueness theorem for locally smooth potentials at the right endpoint.

Date: 2025
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