An affine restriction estimate in $\mathbb{R}^3$
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Publication:3420090
DOI10.1090/S0002-9939-06-08604-7zbMath1134.42310OpenAlexW1486401709MaRDI QIDQ3420090
Publication date: 1 February 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08604-7
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Convex sets in (3) dimensions (including convex surfaces) (52A15)
Related Items (5)
Universal \(L^p\) improving for averages along polynomial curves in low dimensions ⋮ Fourier restriction, polynomial curves and a geometric inequality ⋮ Affine restriction for radial surfaces ⋮ Uniform estimates for the local restriction of the Fourier transform to curves ⋮ AN AFFINE FOURIER RESTRICTION THEOREM FOR CONICAL SURFACES
Cites Work
- Extended affine surface area
- Contributions to affine surface area
- Restriction and decay for flat hypersurfaces.
- Equality of two representations of extended affine surface area
- A characterization of affine surface area
- Fourier restriction to convex surfaces of revolution in \(\mathbb R^3\)
- Fourier restriction for affine arclength measures in the plane
- On the Affine Surface Area
- The convex floating body.
- A uniform Fourier restriction theorem for surfaces in ℝ³
- Two estimates for curves in the plane
- Fourier multipliers and estimates of the Fourier transform of measures carried by smooth curves in R²
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