Higher Order Fourier Analysis

by Terence Tao

Uses linear phase functions to study functions. Aims to cover all topics in a unified manner, as well as to survey some of the most recent developments, such as the application of the theory to count linear patterns in primes."

Genres: Mathematics

187 pages, Hardcover

First published September 1, 2012

About the author

Terence "Terry" Tao FAA FRS (simplified Chinese: 陶哲轩; traditional Chinese: 陶哲軒; pinyin: Táo Zhéxuān) is an Australian-American mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, compressed sensing and analytic number theory. As of 2015, he holds the James and Carol Collins chair in mathematics at the University of California, Los Angeles. Tao was a co-recipient of the 2006 Fields Medal and the 2014 Breakthrough Prize in Mathematics.