Inverse dynamic problems for canonical systems and de Branges spaces
A.S. Mikhaylov, V.S. Mikhaylov
TL;DR
This paper explores the equivalence of inverse problems across various dynamical systems and canonical systems, providing a framework for constructing de Branges spaces from general Hamiltonians.
Contribution
It establishes a connection between inverse problems for dynamical and canonical systems and outlines a method to construct de Branges spaces from general Hamiltonians.
Findings
Demonstrates equivalence of inverse problems across systems
Provides a construction procedure for de Branges spaces
Outlines a strategy for studying dynamic inverse problems
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.
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