English

On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices

Analysis of PDEs 2025-05-28 v1 Dynamical Systems Spectral Theory

Abstract

We consider dynamical systems with boundary control associated with finite Jacobi matrices. Using the method previously developed by the authors, we associate with these systems special Hilbert spaces of analytic functions (de Branges spaces)

Keywords

Cite

@article{arxiv.2505.20905,
  title  = {On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices},
  author = {A. S. Mikhaylov and V. S. Mikhaylov},
  journal= {arXiv preprint arXiv:2505.20905},
  year   = {2025}
}