On an application of the Boundary control method to classical moment problems
arXiv:2505.07570 · doi:10.1088/1742-6596/2092/1/012002
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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