Convolution and restriction estimates for measures on curves in ℝ²

DOI10.1090/S0002-9939-07-09083-1zbMath1133.42014OpenAlexW1589186232MaRDI QIDQ5429442

Daniel M. Oberlin

Publication date: 30 November 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09083-1

zbMATH Keywords

convolutionFourier restriction

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• Fourier restriction for affine arclength measures in the plane
• Degenerate curves and harmonic analysis
• Restriction of Fourier transforms to curves and related oscillatory integrals
• Convolution with affine arclength measures in the plane
• Fourier multipliers and estimates of the Fourier transform of measures carried by smooth curves in R²

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