Geodesic
Dynamic inverse problem for complex Jacobi matrices
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 53, Tome 521 (2023), pp. 136-153

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We consider the dynamic inverse problem for a dynamical system with discrete time associated with a semi-infinite complex Jacobi matrix. We propose two approaches of recovering coefficients from dynamic response operator and provide a characterization of dynamic inverse data. 
@article{ZNSL_2023_521_a8,
     author = {A. S. Mikhailov and V. S. Mikhailov},
     title = {Dynamic inverse problem for complex {Jacobi} matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {136--153},
     publisher = {mathdoc},
     volume = {521},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_521_a8/}
}
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A. S. Mikhailov; V. S. Mikhailov. Dynamic inverse problem for complex Jacobi matrices. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 53, Tome 521 (2023), pp. 136-153. http://geodesic.mathdoc.fr/item/ZNSL_2023_521_a8/