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arXiv · 1209.0666

On the universal tiling conjecture in dimension one

Dorin Ervin Dutkay·Palle E. T. Jorgensen
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Abstract

We show that the spectral-tile implication in the Fuglede conjecture in dimension 1 is equivalent to a Universal Tiling Conjecture and also to similar forms of the same implication for some simpler sets, such as unions of intervals with rational or integer endpoints.

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Dorin Ervin Dutkay, Palle E. T. Jorgensen. 2013-01-24. On the universal tiling conjecture in dimension one. https://arxiv.org/abs/1209.0666

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