Local extension estimates for the hyperbolic hyperboloid in three dimensions

DOI10.1007/S00041-022-09970-2zbMath1498.42020arXiv2005.12467OpenAlexW3031043597WikidataQ115609266 ScholiaQ115609266MaRDI QIDQ2079852

Benjamin B. Bruce

Publication date: 7 October 2022

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12467

zbMATH Keywords

hyperboloidoscillatory integralspolynomial partitioningFourier restriction

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Second-order hyperbolic equations (35L10)

Related Items (2)

Restriction inequalities for the hyperbolic hyperboloid ⋮ Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3--9, 2022

Cites Work

• Scale-invariant Fourier restriction to a hyperbolic surface
• A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning
• Improved restriction estimate for hyperbolic surfaces in \(\mathbb{R}^3\)
• Restriction inequalities for the hyperbolic hyperboloid
• A restriction estimate using polynomial partitioning
• A bilinear approach to the restriction and Kakeya conjectures
• Bilinear restriction estimates for surfaces with curvatures of different signs

This page was built for publication: Local extension estimates for the hyperbolic hyperboloid in three dimensions