On the Weyl function for complex Jacobi matrices
Analysis of PDEs
2025-10-06 v2
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.
Cite
@article{arxiv.2509.18873,
title = {On the Weyl function for complex Jacobi matrices},
author = {A. S. Mikhaylov and V. S. Mikhaylov},
journal= {arXiv preprint arXiv:2509.18873},
year = {2025}
}