An inverse problem for a class of lacunary canonical systems with diagonal Hamiltonian
Abstract
Hamiltonians are 2by2 positive semidefinite real symmetric matrixvalued functions satisfying certain conditions. In this paper, we solve the inverse problem for which recovers a Hamiltonian from the solution of a firstorder 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 twodimensional canonical systems.
 Publication:

arXiv eprints
 Pub Date:
 July 2019
 arXiv:
 arXiv:1907.07838
 Bibcode:
 2019arXiv190707838S
 Keywords:

 Mathematics  Functional Analysis;
 Mathematics  Number Theory;
 34A55;
 31A10;
 34L40
 EPrint:
 16 pages, 0 figures