TY  - BOOK
AU  - Tao, Terence
AU  - Tao, Terence, 
TI  - Higher Order Fourier Analysis
T2  - Graduate studies in mathematics, v. 142
SN  - 9781470425883
U1  - 515.2433 TAO 
PY  - 2012///
CY  - Island 
PB  - : American Mathematical Society
KW  - Mathematics
KW  - Analysis
KW  - Fourier analysis
KW  - Harmonische Analyse
KW  - Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity.
KW  - Number theory -- Connections with logic -- Ultraproducts
KW  - Number theory -- Exponential sums and character sums -- Estimates on exponential sums
N1  - Higher order Fourier analysis. Equidistribution of polynomial sequences in tori --
Roth's theorem --
Linear patterns --
Equidistribution of polynomials over finite fields --
The inverse conjecture for the Gowers norm I. The finite field case --
The inverse conjecture for the Gowers norm II. The integer case --
Liner equations in primes --
Related articles. Ultralimit analysis and quantitative algebraic geometry --
Higher order Hilbert spaces --
The uncertainty principle
ER  -