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Four variants of the Fourier-analytic transference principle

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Four variants of the Fourier-analytic transference principle. / Prendiville, Sean.
In: Online Journal of Analytic Combinatorics, No. 12, 01.09.2017.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Prendiville, S 2017, 'Four variants of the Fourier-analytic transference principle', Online Journal of Analytic Combinatorics, no. 12. <http://web.math.rochester.edu/misc/ojac/vol12/136.pdf>

APA

Prendiville, S. (2017). Four variants of the Fourier-analytic transference principle. Online Journal of Analytic Combinatorics, (12). http://web.math.rochester.edu/misc/ojac/vol12/136.pdf

Vancouver

Prendiville S. Four variants of the Fourier-analytic transference principle. Online Journal of Analytic Combinatorics. 2017 Sept 1;(12).

Author

Prendiville, Sean. / Four variants of the Fourier-analytic transference principle. In: Online Journal of Analytic Combinatorics. 2017 ; No. 12.

Bibtex

@article{fd718e980f0d41389caf9df8bf604d66,
title = "Four variants of the Fourier-analytic transference principle",
abstract = "We survey four instances of the Fourier analytic {\textquoteleft}transference principle{\textquoteright}or {\textquoteleft}dense model lemma{\textquoteright}, which allows one to approximate an unbounded functionon the integers by a bounded function with similar Fourier transform. Such a resultforms a component of a general method pioneered by Green to count solutions to asingle linear equation in a sparse subset of integers.",
author = "Sean Prendiville",
year = "2017",
month = sep,
day = "1",
language = "English",
journal = "Online Journal of Analytic Combinatorics",
issn = "1931-3365",
publisher = "Department of Computer Science, University of Auckland",
number = "12",

}

RIS

TY - JOUR

T1 - Four variants of the Fourier-analytic transference principle

AU - Prendiville, Sean

PY - 2017/9/1

Y1 - 2017/9/1

N2 - We survey four instances of the Fourier analytic ‘transference principle’or ‘dense model lemma’, which allows one to approximate an unbounded functionon the integers by a bounded function with similar Fourier transform. Such a resultforms a component of a general method pioneered by Green to count solutions to asingle linear equation in a sparse subset of integers.

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

M3 - Journal article

JO - Online Journal of Analytic Combinatorics

JF - Online Journal of Analytic Combinatorics

SN - 1931-3365

IS - 12

ER -