Proof of the Fourier extension conjecture on the paraboloid in d>2 by decomposing smooth Alpert projections, applying a bilinear reduction, and bounding the resulting oscillatory integral with periodic amplitude via lattice averaging and stationary phase.
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The Fourier extension conjecture for the paraboloid
Proof of the Fourier extension conjecture on the paraboloid in d>2 by decomposing smooth Alpert projections, applying a bilinear reduction, and bounding the resulting oscillatory integral with periodic amplitude via lattice averaging and stationary phase.