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arxiv: 0808.1851 · v1 · submitted 2008-08-13 · 🧮 math.SP · math-ph· math.MP

Inverse Nodal Problems

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keywords flatnodaltoribottlesboundaryclassesconditionsdetermine
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It is shown that nodal sequences determine the underlying manifold up to scaling within classes of rectangles with Dirichlet boundary conditions, separable two dimensional tori, two-dimensional flat Klein bottles and flat tori in two and three dimensions.

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