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Stein's Fourier restriction conjecture: the full range of L^p to L^q restriction estimates for the Fourier transform on curved hypersurfaces (sphere, paraboloid), including adjoint/extension estimates. Claims about its truth, partial results, equivalent forms, or its implications for other problems (Kakeya, Bochner-Riesz, local smoothing) belong here; generic Fourier-analysis claims without the re

The Bochner–Riesz conjecture implies the Fourier restriction conjecture.

UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →empirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitution →Bochner–Riesz conjecture Harmonic analysisimportance · settledImportance 0.20, from 0 to 1 · settled: uncontested, so low even when much depends on it. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

The Fourier restriction conjecture implies the Kakeya conjecture.

UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →empirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitution →Kakeya conjecture Harmonic analysisimportance · settledImportance 0.20, from 0 to 1 · settled: uncontested, so low even when much depends on it. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

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