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Skew-self-adjoint discrete and continuous Dirac type systems: inverse problems and Borg-Marchenko theorems

Alexander Sakhnovich
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Abstract

New formulas on the inverse problem for the continuous skew-self-adjoint Dirac type system are obtained. For the discrete skew-self-adjoint Dirac type system the solution of a general type inverse spectral problem is also derived in terms of the Weyl functions. The description of the Weyl functions on the interval is given. Borg-Marchenko type uniqueness theorems are derived for both discrete and continuous non-self-adjoint systems too.

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Alexander Sakhnovich. 2005-11-25. Skew-self-adjoint discrete and continuous Dirac type systems: inverse problems and Borg-Marchenko theorems. https://doi.org/10.1088/0266-5611%2F22%2F6%2F011

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