Generic spectral simplicity of polygons
谱理论
2008-02-19 v3
摘要
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.
关键词
引用
@article{arxiv.math/0703616,
title = {Generic spectral simplicity of polygons},
author = {Luc Hillairet and Chris Judge},
journal= {arXiv preprint arXiv:math/0703616},
year = {2008}
}
备注
length reduced to 6 pages, 1 figure