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Higher Order Fourier Analysis at Meripustak

Higher Order Fourier Analysis

Books from same Author: Terence Tao

Books from same Publisher: ORIENT BLACKSWAN

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    • General Information  
    Author(s)Terence Tao
    PublisherORIENT BLACKSWAN
    ISBN9781470425883
    BindingPaperback
    LanguageEnglish
    Publish YearJanuary 2016

    Description

    ORIENT BLACKSWAN Higher Order Fourier Analysis by Terence Tao

    Traditional Fourier analysis which has been remarkably effective in many contexts uses linear Phase functions to study functions. Some questions such as problems involving Arithmetic Progressions naturally lead to the use of Quadratic or higher Order phases. Higher Order Fourier analysis is a subject that has become very active only recently. Go we Rs in ground-breaking work developed many of the basic concepts of this theory in order to give a new Quantitative proof of szemerédis theorem on Arithmetic Progressions. However there are also precursors to this theory in weyls classical theory of equidistribution as well as in furstenbergs structural theory of dynamical systems. The book serves as an introduction to the field giving the beginning graduate student in the subject a high-level overview of the field. The text focuses on the simplest illustrative examples of key results serving as a companion to the existing literature on the subject. There are numerous exercises with which to test ones knowledge.