RESTRICTION OF FOURIER TRANSFORMS TO CURVES II: SOME CLASSES WITH VANISHING TORSION

DOI10.1017/S1446788708000578zbMath1154.42004arXivmath/0703068MaRDI QIDQ3549350

Jong-Guk Bak, Andreas Seeger, Daniel M. Oberlin

Publication date: 22 December 2008

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

Full work available at URL: https://arxiv.org/abs/math/0703068

zbMATH Keywords

torsionFourier restrictionFourier extension operatoraffine arclength measure

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis in several variables (42B99)

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Cites Work

• Restrictions of Fourier transforms to curves
• Classes of singular integral operators along variable lines
• Degenerate curves and harmonic analysis
• On the Restriction of The Fourier Transform to Curves: Endpoint Results and The Degenerate Case
• Fourier restriction theorems for curves with affine and Euclidean arclengths
• A Sharp Restriction Theorem for Degenerate Curves in R 2
• Fourier restriction theorems for degenerate curves
• Estimates for an oscillatory integral operator related to restriction to space curves