On the Universal Tiling Conjecture in Dimension One |
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| Authors: | Dorin Ervin Dutkay Palle E T Jorgensen |
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| Institution: | 1. Department of Mathematics, University of Central Florida, 4000 Central Florida Blvd., P.O. Box 161364, Orlando, FL, 32816-1364, USA
2. Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA, 52242-1419, USA
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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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