An inverse problem for a class of lacunary canonical systems with diagonal Hamiltonian
Functional Analysis
2023-01-02 v2 Number Theory
Abstract
Hamiltonians are 2-by-2 positive semidefinite real symmetric matrix-valued functions satisfying certain conditions. In this paper, we solve the inverse problem for which recovers a Hamiltonian from the solution of a first-order system attached to a given Hamiltonian, consisting of ordinary differential equations parametrized by a set of complex numbers, under certain conditions for the solutions. This inverse problem is a generalization of the inverse problem for two-dimensional canonical systems.
Cite
@article{arxiv.1907.07838,
title = {An inverse problem for a class of lacunary canonical systems with diagonal Hamiltonian},
author = {Masatoshi Suzuki},
journal= {arXiv preprint arXiv:1907.07838},
year = {2023}
}
Comments
16 pages, 0 figures