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On the additive complements of the primes and sets of similar growth

100%

Kolountzakis M.

Acta Arithmetica

1996

tom 77

nr 1

1-8

Tiling and spectral properties of near-cubic domains

63%

Kolountzakis M., Łaba I.

Studia Mathematica

2004

tom 160

nr 3

287-299

We prove that if a measurable domain tiles ℝ or ℝ² by translations, and if it is "close enough" to a line segment or a square respectively, then it admits a lattice tiling. We also prove a similar result for spectral sets in dimension 1, and give an example showing that there is no analogue of the tiling result in dimensions 3 and higher.

Ograniczanie wyników

1 Acta Arithmetica

1 Studia Mathematica

2 Kolountzakis M.

1 Łaba I.

1 2004

1 1996

Wyniki wyszukiwania

On the additive complements of the primes and sets of similar growth

Tiling and spectral properties of near-cubic domains