| dc.contributor.advisor | Guth, Lawrence | |
| dc.contributor.author | Fu, Yuqiu | |
| dc.date.accessioned | 2023-07-31T19:51:24Z | |
| dc.date.available | 2023-07-31T19:51:24Z | |
| dc.date.issued | 2023-06 | |
| dc.date.submitted | 2023-05-24T14:46:45.010Z | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/151597 | |
| dc.description.abstract | We study the decoupling theory for functions on R with Fourier transform sup- ported in a neighborhood of a convex sequence [formula], where [formula] and 𝑔 : [0, 1] → R is a 𝐶² function satisfying 𝑔′(𝑥) > 0, 𝑔′′(𝑥) > 0 for every 𝑥 ∈ [0, 1]. We utilize the wave packet structure of functions with frequency support in a neigh- borhood of an arithmetic progression. | |
| dc.publisher | Massachusetts Institute of Technology | |
| dc.rights | In Copyright - Educational Use Permitted | |
| dc.rights | Copyright retained by author(s) | |
| dc.rights.uri | https://rightsstatements.org/page/InC-EDU/1.0/ | |
| dc.title | Fourier decoupling for convex sequences | |
| dc.type | Thesis | |
| dc.description.degree | Ph.D. | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| mit.thesis.degree | Doctoral | |
| thesis.degree.name | Doctor of Philosophy | |
