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- W2949780092 abstract "We give an example of a set $Omega subset R^5$ which is a finite union of unit cubes, such that $L^2(Omega)$ admits an orthonormal basis of exponentials ${frac{1}{|Omega|^{1/2}} e^{2pi i xi_j cdot x}: xi_j in Lambda }$ for some discrete set $Lambda subset R^5$, but which does not tile $R^5$ by translations. This answers a conjecture of Fuglede in the negative, at least in 5 and higher dimensions." @default.
- W2949780092 created "2019-06-27" @default.
- W2949780092 creator A5066728260 @default.
- W2949780092 date "2003-06-08" @default.
- W2949780092 modified "2023-09-23" @default.
- W2949780092 title "Fuglede's conjecture is false in 5 and higher dimensions" @default.
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