MATHEMATICA SCANDINAVICA · 2006 · 62 citations · 12 references
Natural SciencesMathematicsTopologyLow-dimensional TopologySpectral TheoryTiling Theory
We show by a counterexample that the "tiling $\Rightarrow$ spectral" part of Fuglede's Spectral Set Conjecture fails already in $\mathsf{Z}^4$ and $\mathsf {R}^4$.
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