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arxiv: math/0312177 · v1 · submitted 2003-12-09 · 🧮 math.SP

On Weyl-Titchmarsh Theory for Singular Finite Difference Hamiltonian Systems

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keywords differencefinitehamiltoniansystemstheoryweyl-titchmarshassociatedbasic
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We develop the basic theory of matrix-valued Weyl-Titchmarsh M-functions and the associated Green's matrices for whole-line and half-line self-adjoint Hamiltonian finite difference systems with separated boundary conditions.

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