Montreal Lecture Notes on Quadratic Fourier Analysis
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 d...
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| Format: | Journal article |
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2006
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| _version_ | 1797055646185553920 |
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| author | Green, B |
| author_facet | Green, B |
| author_sort | Green, B |
| collection | OXFORD |
| 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 Some of the notes cover unpublished work which is joint with Terence Tao.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. |
| first_indexed | 2024-03-06T19:12:44Z |
| format | Journal article |
| id | oxford-uuid:174f3f1c-c5ba-4e44-ae83-faa3c68b11b1 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:12:44Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:174f3f1c-c5ba-4e44-ae83-faa3c68b11b12022-03-26T10:36:31ZMontreal Lecture Notes on Quadratic Fourier AnalysisJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:174f3f1c-c5ba-4e44-ae83-faa3c68b11b1Symplectic Elements at Oxford2006Green, BThese 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. |
| spellingShingle | Green, B Montreal Lecture Notes on Quadratic Fourier Analysis |
| title | Montreal Lecture Notes on Quadratic Fourier Analysis |
| title_full | Montreal Lecture Notes on Quadratic Fourier Analysis |
| title_fullStr | Montreal Lecture Notes on Quadratic Fourier Analysis |
| title_full_unstemmed | Montreal Lecture Notes on Quadratic Fourier Analysis |
| title_short | Montreal Lecture Notes on Quadratic Fourier Analysis |
| title_sort | montreal lecture notes on quadratic fourier analysis |
| work_keys_str_mv | AT greenb montreallecturenotesonquadraticfourieranalysis |