Inverse dynamic problems for canonical systems and de Branges spaces
Analysis of PDEs
2025-05-30 v1 Spectral Theory
Abstract
We show the equivalence of inverse problems for different dynamical systems and corresponding canonical systems. For canonical system with general Hamiltonian we outline the strategy of studying the dynamic inverse problem and procedure of construction of corresponding de Branges space.
Keywords
Cite
@article{arxiv.2505.23321,
title = {Inverse dynamic problems for canonical systems and de Branges spaces},
author = {A. S. Mikhaylov and V. S. Mikhaylov},
journal= {arXiv preprint arXiv:2505.23321},
year = {2025}
}