Affine-invariant Fourier Restriction for general varieties
Lead Research Organisation:
University of Edinburgh
Department Name: Sch of Mathematics
Abstract
Affine-invariant harmonic analysis has emerged as a powerful perspective, unify-
ing and making more robost many previous results which depended on curvature
degeneracy of the underlying variety.
Recemtly the classical Stein-Tomas argument establishing L 2 fourier restriction
estimates have been modified to give sharp estimates for a class of varieties with any
prescribed dimension, from curves to hypersurfaces. In this project, it is proposed
that an L 2 affine-invariant fourier restriction theory be developed for this class of
varieties
ing and making more robost many previous results which depended on curvature
degeneracy of the underlying variety.
Recemtly the classical Stein-Tomas argument establishing L 2 fourier restriction
estimates have been modified to give sharp estimates for a class of varieties with any
prescribed dimension, from curves to hypersurfaces. In this project, it is proposed
that an L 2 affine-invariant fourier restriction theory be developed for this class of
varieties
Organisations
People |
ORCID iD |
| John Green (Student) |
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/N509644/1 | 01/10/2016 | 30/09/2021 | |||
| 2097249 | Studentship | EP/N509644/1 | 01/10/2018 | 28/02/2022 | John Green |
| EP/R513209/1 | 01/10/2018 | 30/09/2023 | |||
| 2097249 | Studentship | EP/R513209/1 | 01/10/2018 | 28/02/2022 | John Green |