中文

Fuglede conjecture holds for convex planar domains

经典分析与常微分方程 2007-05-23 v1

摘要

Let Ω\Omega be a compact convex domain in the plane. We prove that L2(Ω)L^2(\Omega) has an orthogonal basis of exponentials if and only if Ω\Omega tiles the plane by translation.

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引用

@article{arxiv.math/0104087,
  title  = {Fuglede conjecture holds for convex planar domains},
  author = {Alex Iosevich and Nets Katz and Terry Tao},
  journal= {arXiv preprint arXiv:math/0104087},
  year   = {2007}
}