Generic spectral simplicity of polygons

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We study the Laplace operator with Dirichlet or Neumann boundary condition on polygons in the Euclidean plane. We prove that almost every simply connected polygon with at least four vertices has simple spectrum. We also address the more general case of geodesic polygons in a constant curvature space form.
length reduced to 6 pages, 1 figure

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Spectral Theory, 58J50; 35P99

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http://salesiana.dossiersoluciones.com/handle/123456789/155080

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703616
 http://arxiv.org/abs/math/0703616

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arXiv