Recent progress on the restriction conjecture

Details Recent progress on the restriction conjecture Recent progress on the restriction conjecture

2003-11-12

arxiv.org/abs/math/0311181v1

Mathematics

Classical Analysis and ODEs

63 pages, 9 figures, submitted, Park City proceedings

Scientific paper

The purpose of these notes is describe the state of progress on the restriction problem in harmonic analysis, with an emphasis on the developments of the past decade or so on the Euclidean space version of these problems for spheres and other hypersurfaces. As the field is quite large and has so many applications, it will be impossible to completely survey the field, but we will try to at least give the main ideas and developments in this area. The restriction problem are connected to many other conjectures, notably the Kakeya and Bochner-Riesz conjectures, as well as PDE conjectures such as the local smoothing conjecture. For reasons of space, we will not be able to discuss all these connections in detail; our main focus will be on proving restriction theorems for the Fourier transform.

Affiliated with

Also associated with

No associations

Rating

Recent progress on the restriction conjecture does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Recent progress on the restriction conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recent progress on the restriction conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-337443