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arXiv · 2505.07570

On an application of the Boundary control method to classical moment problems

Alexander Mikhaylov·Victor Mikhaylov
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Abstract

We establish relationships between the classical moments problems which are problems of a construction of a measure supported on a real line, on a half-line or on an interval from prescribed set of moments with the Boundary control approach to a dynamic inverse problem for a dynamical system with discrete time associated with Jacobi matrices. We show that the solution of corresponding truncated moment problems is equivalent to solving some generalized spectral problems.

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Alexander Mikhaylov, Victor Mikhaylov. 2025-05-12. On an application of the Boundary control method to classical moment problems. https://doi.org/10.1088/1742-6596%2F2092%2F1%2F012002

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