Source: wikibot/fuglede-s-conjecture
= Fuglede's conjecture
{wiki=Fuglede's_conjecture}
Fuglede's conjecture, proposed by the mathematician Bjarne Fuglede in 1974, is a statement in the field of mathematics that relates to the concepts of spectral sets and tiling in Euclidean space. Specifically, the conjecture asserts that: A measurable subset \\( S \\) of \\( \\mathbb\{R\}^n \\) can tile \\( \\mathbb\{R\}^n \\) by translations if and only if it is a spectral set.