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

DOI10.1090/S0002-9939-2011-11218-8zbMath1238.42003arXiv1010.0531MaRDI QIDQ5388805

Daniel M. Oberlin

Publication date: 20 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0531

zbMATH Keywords

Fourier restriction

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (4)

Decoupling for mixed-homogeneous polynomials in \({\mathbb{R}}^3\) ⋮ Strichartz estimates for mixed homogeneous surfaces in three dimensions ⋮ On the Oberlin affine curvature condition ⋮ AN AFFINE FOURIER RESTRICTION THEOREM FOR CONICAL SURFACES

Cites Work

• Restriction and decay for flat hypersurfaces.
• Fourier restriction to convex surfaces of revolution in \(\mathbb R^3\)
• Fourier restriction for affine arclength measures in the plane
• Some convolution inequalities and their applications
• Restriction for flat surfaces of revolution in ${\mathbf R}^3$
• A uniform Fourier restriction theorem for surfaces in ℝ³
• Sharpness Results and Knapp’s Homogeneity Argument
• Convolution with measures on hypersurfaces

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