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Higher Order Fourier Analysis 1st Edition Terence Tao

  • SKU: BELL-73378650
Higher Order Fourier Analysis 1st Edition Terence Tao
$ 31.00 $ 45.00 (-31%)

4.4

32 reviews

Higher Order Fourier Analysis 1st Edition Terence Tao instant download after payment.

Publisher: 高等教育出版社
File Extension: PDF
File size: 34.61 MB
Pages: 187
Author: (澳)陶哲轩(Terence Tao)
ISBN: 9787040469097, 704046909X
Language: English
Year: 2017
Edition: 1

Product desciption

Higher Order Fourier Analysis 1st Edition Terence Tao by (澳)陶哲轩(terence Tao) 9787040469097, 704046909X instant download after payment.

传统傅里叶分析使用线性相函数来研究函数,在许多场合都非常有效。例如涉及算术数列的一些问题很自然地会使用二阶或更高阶的相。高阶傅里叶分析近年来才变得十分活跃起来。Gowers在其开创性工作中发展了这个理论的许多基本概念,其目的是为了给关于算术数列的Szemerédi定理一个全新和量化的证明。但是在Weyl关于等分布的经典理论,以及在Furstenberg关于动力系统的结构理论中,已经有了这个理论的初期形式。

作为这个领域的第一本专著,本书旨在以统一的方式讲述所有这些论题。同时概述了一些最新进展,例如该理论在素数的线性模式计数的应用。本书作为一个导引,可以给予该学科低年级研究生一个高水平的总览。本书着重讲述重要结果的最简单例证,可以用作本学科现有文献的指南。书中有大量用来测试知识的习题。

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