arXiv subjects

Faruk Temur

Publications and source records attributed to Faruk Temur.

20 records · Page 2Linked to original sources

arXiv2012

A Fourier restriction estimate for surfaces of positive curvature in R^6

We improve the best known exponent for the restriction conjecture in R^6. Our idea is applicable to any dimension n satisfying n = 0 mod 3, though we do not explicitly calculate the improvement for n > 6. This improves the recent results of Bourgain and Guth.

math.CA↗

arXiv2011

An endline bilinear cone restriction estimate for mixed norms

We prove an $L^2 \times L^2 \rightarrow L_t^qL_x^p $ bilinear Fourier extension estimate for the cone when $p,q$ are on the critical line $1/q=(\frac{n+1}{2})(1-1/p)$. This extends previous results by Wolff, Tao and Lee-Vargas.

math.CA↗