TY - JOUR

T1 - On an application of the Boundary control method to classical moment problems

AU - Mikhaylov, A.S.

AU - Mikhaylov, V.S.

PY - 2021/12/1

Y1 - 2021/12/1

N2 - 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.

AB - 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.

U2 - 10.1088/1742-6596/2092/1/012002

DO - 10.1088/1742-6596/2092/1/012002

M3 - Article

VL - 2092

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

M1 - 012002

Y2 - 26 August 2019 through 4 September 2019

ER -