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arxiv: 1301.1011 · v2 · pith:TJ73QPDWnew · submitted 2013-01-06 · 🧮 math.SP

On the Simplicity of the Eigenvalues of the Non-self-adjoint Mathieu-Hill Operators

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keywords eigenvaluesmathieu-hillnon-self-adjointantiperiodicboundaryconditionsdirichletfind
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We find conditions on the potential of the non-self-adjoint Mathieu-Hill operator such that the all eigenvalues of the periodic, antiperiodic, Dirichlet and Neumann boundary value problems are simple.

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