A Fourier  restriction estimate for surfaces of positive curvature in $\mathbb{R}^6$

Faruk Temur

doi:10.4171/rmi/805

JournalsrmiVol. 30, No. 3pp. 1015–1036

A Fourier restriction estimate for surfaces of positive curvature in $\mathbb{R}^6$

Faruk Temur
University of Illinois at Urbana-Champaign, USA

$A Fourier restriction estimate for surfaces of positive curvature in $\mathbb{R}^6$ cover$

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Abstract

We improve the best known exponent for the restriction conjecture in $\mathbb{R}^6$ , improving the recent results of Bourgain and Guth. The proof is applicable to any dimension $n$ satisfying $n \equiv 0 \mod 3$ .

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Faruk Temur, A Fourier restriction estimate for surfaces of positive curvature in $\mathbb{R}^6$ . Rev. Mat. Iberoam. 30 (2014), no. 3, pp. 1015–1036

DOI 10.4171/RMI/805