Inverse problems for Jacobi operators. II: Mass perturbations of semi-infinite mass-spring systems (Q2860841)

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scientific article; zbMATH DE number 6225413
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Inverse problems for Jacobi operators. II: Mass perturbations of semi-infinite mass-spring systems
scientific article; zbMATH DE number 6225413

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    11 November 2013
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    infinite mass-spring system
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    Jacobi matrices
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    two-spectra inverse problem
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    math-ph
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    math.MP
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    Inverse problems for Jacobi operators. II: Mass perturbations of semi-infinite mass-spring systems (English)
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    The authors consider an inverse spectral problem for infinite linear mass-spring systems with different configurations obtained by changing the first mass. They give results on the reconstruction of the system from the spectra of two configurations. Necessary and sufficient conditions for two real sequences to be the spectra of two modified systems are provided.
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