Last Updated
：2025/12/08
Fuglede's conjecture
Proper noun
Japanese Meaning
フグレードの予想： ℝᵈ 内の有限で正のルベーグ測度を持つ全ての領域が、翻訳によって ℝᵈ をタイル状に覆う（敷き詰める）ことと、その領域がスペクトル集合であることが同値であるとする数学上の予想。
Quizzes for review
(mathematics) 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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Fuglede's conjecture
Research on Fuglede's conjecture has deepened our understanding of the connections between tiling and spectral sets in Euclidean space.
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Research on Fuglede's conjecture has deepened our understanding of the connections between tiling and spectral sets in Euclidean space.
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