Fuglede conjecture holds for convex planar domains
Classical Analysis and ODEs
2007-05-23 v1
Abstract
Let be a compact convex domain in the plane. We prove that has an orthogonal basis of exponentials if and only if tiles the plane by translation.
Keywords
Cite
@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}
}