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.
Citation
Masatoshi Suzuki. "An inverse problem for a class of lacunary canonical systems with diagonal Hamiltonian." Tohoku Math. J. (2) 74 (4) 549 - 568, 2022. https://doi.org/10.2748/tmj.20210816
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