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arxiv: 0709.3786 · v1 · submitted 2007-09-24 · 🧮 math.CA

Geometric incidence theorems via Fourier analysis

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keywords incidencenon-trivialtheoremsanalysisboundscorrespondinglydiscretefourier
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We prove that non-trivial bounds for generalized Radon transforms imply correspondingly non-trivial discrete incidence theorems for manifolds and suitably regular point sets.

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