English

On the universal tiling conjecture in dimension one

Functional Analysis 2013-01-25 v2

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.

Keywords

Cite

@article{arxiv.1209.0666,
  title  = {On the universal tiling conjecture in dimension one},
  author = {Dorin Ervin Dutkay and Palle E. T. Jorgensen},
  journal= {arXiv preprint arXiv:1209.0666},
  year   = {2013}
}

Comments

arXiv admin note: text overlap with arXiv:1205.4351

R2 v1 2026-06-21T21:59:34.707Z