Inverse Nodal Problems
arXiv:0808.1851 · doi:10.1088/1751-8113/42/17/175209
Abstract
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.
12 pages, 1 figure