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

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

2005-11-25

arxiv.org/abs/math/0511594v1

Inverse Problems 22 (2006) 2083-2101

Mathematics

Spectral Theory

Scientific paper

10.1088/0266-5611/22/6/011

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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