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arxiv: 1209.0666 · v2 · pith:XEO6Z6EEnew · submitted 2012-09-04 · 🧮 math.FA

On the universal tiling conjecture in dimension one

classification 🧮 math.FA
keywords conjecturedimensionimplicationtilinguniversalendpointsequivalentforms
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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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