Fuglede's conjecture

proper noun

The conjecture that every domain of ℝᵈ (i.e. subset of ℝᵈ with positive finite Lebesgue measure) is a spectral set if and only if it tiles ℝᵈ by translation.

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Meanings

proper noun
  1. mathematicsThe conjecture that every domain of ℝᵈ (i.e. subset of ℝᵈ with positive finite Lebesgue measure) is a spectral set if and only if it tiles ℝᵈ by translation.

Origin

Proposed by Danish mathematician Bent Fuglede in 1974

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Cite this entry
APA

Fuglede's conjecture. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Fuglede's%20conjecture

MLA

“Fuglede's conjecture.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Fuglede's%20conjecture. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Fuglede's conjecture,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Fuglede's%20conjecture.

Source: Fuglede's conjecture on Wiktionary, CC BY-SA 4.0.