Fourier decoupling for convex sequences

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.

Name thesis:degree_name

Doctoral

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Mathematics

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2023

Author dc:creator

• Fu, Yuqiu

Advisor dc:contributor.advisor

• Guth, Lawrence

Statement dc:rights

• In Copyright - Educational Use Permitted
• Copyright retained by author(s)

Licence dc:rights.uri

• https://rightsstatements.org/page/InC-EDU/1.0/

Handle dc:identifier.uri

https://hdl.handle.net/1721.1/151597

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/151597