For a wave-type dynamical system with a finite Jacobi matrix, the Fourier images of the reachable set, equipped with the connecting operator metric, form a de Branges space.
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On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices
For a wave-type dynamical system with a finite Jacobi matrix, the Fourier images of the reachable set, equipped with the connecting operator metric, form a de Branges space.