On the restriction conjecture

Recent progress on the Restriction conjecture

Some Recent Progress on the Restriction Conjecture

We survey recent developments on the Restriction conjecture.

The Bochner-riesz Conjecture Implies the Restriction Conjecture

The Crystallographic Restriction, Permutations, and Goldbach's Conjecture

1. INTRODUCTION. The object of this paper is to make an observation connecting Goldbach's conjecture, the crystallographic restriction, and the orders of the elements of the symmetric group. First recall that for an element g of a group G the order Ord(g) of g is defined to be the smallest natural number such that g

Slicing Surfaces and Fourier Restriction Conjecture

We deal with the restriction phenomenon for the Fourier transform. We prove that each of the restriction conjectures for the sphere, the paraboloid, the elliptic hyperboloid in R implies that for the cone in R. We also prove a new restriction estimate for any surface in R locally isometric to the plane and of finite type.