Fuglede conjecture holds for convex planar domains
classification
🧮 math.CA
keywords
omegaconvexplanebasiscompactconjecturedomaindomains
read the original abstract
Let $\Omega$ be a compact convex domain in the plane. We prove that $L^2(\Omega)$ has an orthogonal basis of exponentials if and only if $\Omega$ tiles the plane by translation.
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