Four variants of the Fourier-analytic transference principle

Prendiville, Sean (2017) Four variants of the Fourier-analytic transference principle. Online Journal of Analytic Combinatorics (12). ISSN 1931-3365

[img]
Text (136)
136.pdf - Accepted Version
Available under License Creative Commons Attribution-NonCommercial.

Download (266kB)

Abstract

We survey four instances of the Fourier analytic ‘transference principle’ or ‘dense model lemma’, which allows one to approximate an unbounded function on the integers by a bounded function with similar Fourier transform. Such a result forms a component of a general method pioneered by Green to count solutions to a single linear equation in a sparse subset of integers.

Item Type:
Journal Article
Journal or Publication Title:
Online Journal of Analytic Combinatorics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2607
Subjects:
ID Code:
137146
Deposited By:
Deposited On:
01 Oct 2019 13:05
Refereed?:
Yes
Published?:
Published
Last Modified:
25 Oct 2020 06:41