Montreal Lecture Notes on Quadratic Fourier Analysis
| dc.creator | Green, Ben | |
| dc.date | 2006-04-04 | |
| dc.date | 2007-04-09 | |
| dc.date.accessioned | 2026-07-07T07:55:37Z | |
| dc.date.available | 2026-07-07T07:55:37Z | |
| dc.description | These are notes to accompany four lectures that I gave at the School on Additive Combinatorics, held in Montreal, Quebec between March 30th and April 5th 2006. My aim is to introduce ``quadratic fourier analysis'' in so far as we understand it at the present time. Specifically, we will describe ``quadratic objects'' of various types and their relation to additive structures, particularly four-term arithmetic progressions. I will focus on qualitative results, referring the reader to the literature for the many interesting quantitative questions in this theory. Thus these lectures have a distinctly ``soft'' flavour in many places. Some of the notes cover unpublished work which is joint with Terence Tao. This will be published more formally at some future juncture. | |
| dc.description | 34 pages. To be published in Proceedings of the CRM-Clay Conference on Additive Combinatorics, Montreal 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0604089 | |
| dc.identifier | http://arxiv.org/abs/math/0604089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127030 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Combinatorics | |
| dc.title | Montreal Lecture Notes on Quadratic Fourier Analysis | |
| dc.type | text |