Restriction and Kakeya phenomena for finite fields

Gerd Mockenhaupt, Terence Tao

Type: Preprint

Publication Date: 2002-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.math/0204234

View Publication

Locations

arXiv (Cornell University) - View
arXiv (Cornell University) - View - PDF
DataCite API - View
arXiv (Cornell University) - View
arXiv (Cornell University) - View - PDF
DataCite API - View
arXiv (Cornell University) - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Restriction and Kakeya phenomena for finite fields	2004	Gerd Mockenhaupt Terence Tao
+	Restriction and Kakeya problems of Fourier analysis in vector spaces over finite fields	2007	Daniel Wilheim
+	A Family of Fractal Fourier Restriction Estimates with Implications on the Kakeya Problem	2024	Bassam Shayya
+	The restriction and Kakeya conjectures	2014	Richard Stedman
+ PDF Chat	Sharp extension inequalities on finite fields	2024	Cristian González-Riquelme Diogo Oliveira e Silva
+	Recent progress on the restriction conjecture	2003	Terence Tao
+	Polynomial Methods in Finite Fields	2022
+ PDF	The Fourier restriction and Kakeya problems over rings of integers modulo N	2018	Jonathan Hickman James Wright
+	The Fourier restriction and Kakeya problems over rings of integers modulo $N$	2018	Jonathan E. Hickman James Wright
+	The Fourier restriction and Kakeya problems over rings of integers modulo $N$	2018	Jonathan Hickman James Wright
+ PDF Chat	The Spherical Kakeya Problem in Finite Fields	2020	Mehdi Makhul Audie Warren Arne Winterhof
+ PDF	A bilinear approach to the restriction and Kakeya conjectures	1998	Terence Tao Ana Vargas Luis Vega
+	Improved bounds for the Kakeya maximal conjecture in higher dimensions	2019	Jonathan Hickman Keith M. Rogers Ruixiang Zhang
+	Discrete Analogues in Harmonic Analysis: Directional Maximal Functions in $\mathbb{Z}^2$	2019	Laura Cladek Ben Krause
+	The Spherical Kakeya Problem in Finite Fields	2020	Mehdi Makhul Audie Warren Arne Winterhof
+	The Spherical Kakeya Problem in Finite Fields	2020	Mehdi Makhul Audie Warren Arne Winterhof
+	A family of fractal Fourier restriction estimates with implications on the Kakeya problem	2022	Bassam Shayya
+	Problems in number theory and hyperbolic geometry	2011	Jonah D. Sinick
+	Fourier Restriction and Exponential Sum Estimates	2016	Yichen Hu Xiaochun Li
+ PDF	Improved bounds for the Kakeya maximal conjecture in higher dimensions	2022	Jonathan E. Hickman Keith M. Rogers Ruixiang Zhang

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF	UNIONS OF LINES IN	2016	Richard Oberlin

Works Cited by This (27)

Action	Title	Year	Authors
+ PDF	Recent work connected with the Kakeya problem	2003	Thomas Wolff
+	Extremal Graph Theory	1978	Béla Bollobás
+ PDF	Oscillatory integrals and multiplier problem for the disc	1972	Lennart Carleson Per Sjölin
+ PDF	On the number of sums and products	1997	György Elekes
+ PDF	$L^{p}$ estimates for the $X$-ray transform	1983	S.W. Drury
+	A bilinear approach to cone multipliers I. Restriction estimates	2000	Terence Tao Ana Vargas
+	A note on Restriction of the Fourier Transform to Spheres	1989	William Beckner Anthony Carbery Stephen Semmes Fernando Soria
+ PDF	On the restriction of the Fourier transform to a conical surface	1985	Bartolome Barcelo Taberner
+ PDF	Bounded orthogonal systems and the Λ(p)-set problem	1989	Jean Bourgain
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon