Slicing surfaces and Fourier restriction conjecture

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dc.creatorNicola, Fabio
dc.date2008-04-23
dc.date.accessioned2026-07-07T09:34:16Z
dc.date.available2026-07-07T09:34:16Z
dc.descriptionWe deal with the restriction phenomenon for the Fourier transform. We prove that each of the restriction conjectures for the sphere, the paraboloid, the elliptic hyperboloid in $\mathbb{R}^n$ implies that for the cone in $\mathbb{R}^{n+1}$. We also prove a new restriction estimate for any surface in $\mathbb{R}^3$ locally isometric to the plane and of finite type.
dc.description13 pages, Proceedings of the Edinburgh Mathematical Society, to appear
dc.identifierhttps://arxiv.org/abs/0804.3696
dc.identifierhttp://arxiv.org/abs/0804.3696
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159434
dc.subjectClassical Analysis and ODEs
dc.subjectAnalysis of PDEs
dc.subject42B10
dc.titleSlicing surfaces and Fourier restriction conjecture
dc.typetext

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