L^p-L² Fourier restriction for hypersurfaces in \Bbb R³: Part I

2012/08/30 by Isroil A. Ikomov, Ikomov, Isroil A., Detlef Müller +1
Mathematics · #35D05 #35D10 #35G05 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.AP #math.CA #msc:35D05 #msc:35D10 #msc:35G05

paper · pdf · doi:10.48550/arxiv.1208.6090

99 pages, 2 figures

arxiv created 2014/10/13 · arxiv updated 2014/10/14

Abstract

This is the first of two articles in which we prove a sharp L^p-L² Fourier restriction theorem for a large class of smooth, finite type hypersurfaces in \Bbb R³, which includes in particular all real-analytic hypersurfaces. The present file is a modified and extended version of an earlier file of the same title. Some changes and corrections had become necessary, in order to make sure that Part II is really compatible with Part I, and it is recommended to replace the earlier version of Part I by the new one.

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• L^p-L² Fourier restriction for hypersurfaces in \Bbb R³: Part II
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