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arxiv: 1407.0291 · v1 · submitted 2014-07-01 · 🧮 math.CA

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l^p decouplings for hypersurfaces with nonzero Gaussian curvature

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classification 🧮 math.CA
keywords curvaturedecouplinggaussianhypersurfacesnonzerocontainedcorrespondingcurves
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We prove an $l^p$ decoupling inequality for hypersurfaces with nonzero Gaussian curvature and use it to derive a corresponding $l^p$ decoupling for curves not contained in a hyperplane. This extends our earlier work from [2]

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