Inverse dynamic problems for canonical systems and de Branges spaces

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.

References in corpus (3)

• Canonical systems and de Branges spaces
• Unified approach to classical equations of inverse problem theory
• Inverse problem for one-dimensional dynamical Dirac system (BC-method)

Cited by in corpus (4)

• On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices
• Construction of solutions of Toda lattices by the classical moment problem
• Inverse dynamic problem for the wave equation with periodic boundary conditions
• Dynamic inverse problem for special system associated with Jacobi matrices and classical moment problems