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An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces
Authors:Natália Bebiano  CM da Fonseca
Institution:a Department of Mathematics, University of Coimbra, 3001-454 Coimbra, Portugal
b Department of Physics, University of Coimbra, 3004-516 Coimbra, Portugal
Abstract:The spectral properties of periodic Jacobi matrices in Minkowski spaces are studied. An inverse problem for these matrices is investigated, and necessary and sufficient conditions under which the problem is solvable are presented. Uniqueness results are also discussed, and an algorithm to construct the solutions and illustrative examples is provided.
Keywords:15A18  15A29
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