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Nov 9, 2010 at 16:53 comment added Greg Graviton The link is currently broken since the MSRI is revamping its video section. Temporary link.
Aug 30, 2010 at 6:08 vote accept Andreas Thom
Aug 26, 2010 at 18:36 answer added Andreas Thom timeline score: 2
Aug 25, 2010 at 16:33 comment added Andreas Thom @Kevin: Maybe the results in Chapter 2 are related, but for the moment I do not see how they help. First of all, there is no set $A$ in my question; secondly, I am talking about Fourier coefficients of a measure on ${\mathbb T}^n$, not ${\mathbb Z}/n{\mathbb Z}$.
Aug 25, 2010 at 13:50 comment added Kevin O'Bryant Chapter 2 of these notes dpmms.cam.ac.uk/~bjg23/papers/icmsnotes.pdf, and in particular Chang's theorem, should answer your question.
Aug 25, 2010 at 11:33 comment added Thomas Bloom This set is often called the $delta$-spectrum of A, and is discussed at some length in section 4.6 of Tao and Vu, Additive Combinatorics. I can't recall anything related to your question there, however, and would be very interested myself to find out more.
Aug 25, 2010 at 10:34 history asked Andreas Thom CC BY-SA 2.5