A uniform Fourier restriction theorem for surfaces in ℝ^{𝕕}

Author:

Oberlin Daniel

Abstract

We prove a Fourier restriction result, uniform over a certain collection of reference measures, for some indices in the Stein-Tomas range.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Fourier restriction to convex surfaces of revolution in ℝ³;Abi-Khuzam, Faruk;Publ. Mat.,2006

2. Restriction and decay for flat hypersurfaces;Carbery, Anthony;Publ. Mat.,2002

3. Restriction for flat surfaces of revolution in 𝐑³;Carbery, A.;Proc. Amer. Math. Soc.,2007

4. Sharpness results and Knapp’s homogeneity argument;Iosevich, Alex;Canad. Math. Bull.,2000

5. Convolution with measures on hypersurfaces;Oberlin, Daniel M.;Math. Proc. Cambridge Philos. Soc.,2000

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