Tiles with no spectra in dimension 4

Bálint Farkas; Révész Szilárd Gy.

doi:10.7146/math.scand.a-14982

Tiles with no spectra in dimension 4

Authors

Bálint Farkas
Révész Szilárd Gy.

DOI:

https://doi.org/10.7146/math.scand.a-14982

Abstract

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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Published

2006-03-01

How to Cite

Farkas, B., & Szilárd Gy., R. (2006). Tiles with no spectra in dimension 4. MATHEMATICA SCANDINAVICA, 98(1), 44–52. https://doi.org/10.7146/math.scand.a-14982