New Bounds for the Discrete Fourier Restriction to the Sphere in 4D and 5D

DOI10.1093/imrn/rnu036zbMath1322.42013arXiv1310.5244OpenAlexW2321545141MaRDI QIDQ5255948

Ciprian Demeter, Jean Bourgain

Publication date: 22 June 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5244

zbMATH Keywords

eigenfunctionsLaplacianincidence geometryquadratic equationsadditive energydiscrete Fourier restrictionSiegel mass formula

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Diophantine equations in many variables (11D72) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

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