书名：Fourier Analysis on Groups群的傅立叶分析

作者：Walter Rudin  

出版社名称：Dover Publications Inc. 

出版时间：2017

语种：英语 

ISBN：9780486813653 

商品尺寸：13.7 x 1.5 x 21.3cm

包装：平装

页数：286（以实物为准）

这本经典的文字由一位数学大师讲解，反映了1962年首次发表傅里叶分析领域十年密集研究和开发成果的结果。持久相关的治疗方法适用于高级本科生和研究生，五十多年来一直是基础资源。

自成一体的文本以傅立叶分析的基本定理和局部紧凑的Abelian族的结构为概览。随后的章节探讨了幂等度量，群代数的同态，薄集上的度量和傅立叶变换，傅立叶变换的功能，L1（G）中的闭理想，有序组的傅立叶分析以及L1（G）的闭合子代数。有用的附录包含有关拓扑和拓扑组，Banach空间和代数以及测度理论的背景信息。

Written by a master mathematical expositor, this classic text reflects the results of the intense period of research and development in the area of Fourier analysis in the decade preceding its first publication in 1962. The enduringly relevant treatment is geared toward advanced undergraduate and graduate students and has served as a fundamental resource for more than five decades.

The self-contained text opens with an overview of the basic theorems of Fourier analysis and the structure of locally compact Abelian groups. Subsequent chapters explore idempotent measures, homomorphisms of group algebras, measures and Fourier transforms on thin sets, functions of Fourier transforms, closed ideals in L1(G), Fourier analysis on ordered groups, and closed subalgebras of L1(G). Helpful Appendixes contain background information on topology and topological groups, Banach spaces and algebras, and measure theory.

Walter Rudin (1921-2010) was Professor of Mathematics at the University of Wisconsin, Madison. His best-known books include Principles of Mathematical Analysis, Real and Complex Analysis, and Functional Analysis.