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Reference.org
Fuglede's conjecture
open-in-new
<p>Fuglede's conjecture is an open problem in <a href="/facts/Mathematics/pxTouaz4">mathematics</a> proposed by <a href="/facts/Bent_Fuglede/vC3vxCQa">Bent Fuglede</a> in 1974. It states that every domain of R d {\displaystyle \mathbb {R} ^{d}} (i.e. subset of R d {\displaystyle \mathbb {R} ^{d}} with positive finite <a href="/facts/Lebesgue_measure/8us9cGoW">Lebesgue measure</a>) is a <a href="/facts/Spectral_set/bkva22eK">spectral set</a> if and only if it tiles R d {\displaystyle \mathbb {R} ^{d}} by <a href="/facts/Translation_(geometry)/KlpWmnfX">translation</a>. </p>