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arxiv: math/0409247 · v1 · submitted 2004-09-15 · 🧮 math.CA · math-ph· math.MP· nlin.SI

On eigenvalues of Lam\'e operator

classification 🧮 math.CA math-phmath.MPnlin.SI
keywords eigenvaluesintegraloperatorapplyingequationfinite-gapformulaehyperelliptic-to-elliptic
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We introduce two integral representations of monodromy on Lam\'e equation. By applying them, we obtain results on hyperelliptic-to-elliptic reduction integral formulae, finite-gap potential and eigenvalues of Lam\'e operator.

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