Application of a Fourier restriction theorem to certain families of projections in R³

2013/07/18 by Daniel Oberlin, Oberlin, Daniel, Richard Oberlin +1
Mathematics · #28E99 #42B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:28E99 #msc:42B10

paper · pdf · doi:10.48550/arxiv.1307.5039

arXiv admin note: text overlap with arXiv:1009.5366

arxiv created 2013/07/18 · arxiv updated 2013/07/19

Abstract

We use a restriction theorem for Fourier transforms of fractal measures to study projections onto families of planes in R³ whose normal directions form nondegenerate curves.

Citations

• Restricting Fourier transforms of measures to curves in R²

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