The spectrum of a self-adjoint extension of a discrete symplectic system in the limit point case is completely determined by analytic behavior of the limiting Weyl-Titchmarsh M-function.
Behncke, Spectral theory of Hamiltonian difference systems with almost constant coefficients , J
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Resolvent and spectrum for discrete symplectic systems in the limit point case
The spectrum of a self-adjoint extension of a discrete symplectic system in the limit point case is completely determined by analytic behavior of the limiting Weyl-Titchmarsh M-function.