Higher Order Fourier Analysis by Terence Tao – 9781470459987
ISBN-13: 9781470459987, 978-1470459987. Traditional Fourier analysis, which has been remarkably effective in many contexts, uses linear phase functions to study functions. However, there are also precursors to this theory in Weyl’s classical theory of equidistribution, as well as in Furstenberg’s structural theory of dynamical systems.