2005/11/25 by Alexander Sakhnovich
Mathematics · Physics and Astronomy · #Dirac (video compression format) #Geometry #Inverse #Inverse problem #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Skew #Spectral Theory in Mathematical Physics #Type (biology) #advanced mathematical theories #math-ph #math.MP #math.SP #msc:34B20 #msc:34L05 #msc:34L40 #msc:47E05
paper · pdf · doi:10.1088/0266-5611/22/6/011
published as Inverse Problems 22 (2006) 2083-2101
arxiv created 2005/11/25 · openalex publication_date 2006/10/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.