高阶傅里叶分析

PrefaceAcknowledgmentsChapter 1． Higher order Fourier analysis1．1． Equidistribution of polynomial sequences in tori1．2． Roth's theorem1．3． Linear patterns1．4． Equidistribution of polynomials over finite fields1．5． The inverse conjecture for the Gowers norm I． The finite field case1．6． The inverse conjecture for the Gowers norm II． The integer case1．7． Linear equations in primesChapter 2． Related articles2．1． Ultralimit analysis and quantitative algebraic geometry2．2． Higher order Hilbert spaces2．3． The uncertainty principleBibliographyIndex