On the Weyl function for complex Jacobi matrices

2025/09/23 by Mikhaylov, A. S., Mikhaylov, V. S.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.18873

Abstract

We derive a new representation for the Weyl function associated with the complex Jacobi matrix in the finite and semi-infinite cases. In our approach we exploit connections to the discrete-time dynamical system associated with these matrices.

Citations

• On the complex moment problem as a dynamic inverse problem for a discrete system
• Dynamic inverse problem for complex Jacobi matrices
• The boundary control approach to inverse spectral theory

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