Inverse Nodal Problems

Mathematics – Spectral Theory

Scientific paper

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12 pages, 1 figure

Scientific paper

10.1088/1751-8113/42/17/175209

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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