《数域上的飞回沙傅里叶分析》是来自2005年清华大学出版社出版的图书，作者是Ramak360百科rishnan, D.缩费黑杀汽Valenza, 题时第冷磁整妒R。

• 书名 数域上的傅里叶分析
• 作者 [美]Ramakrishnan, D.Valenza, R
• 开本 16 开
• 装帧 平装
• ISBN 9787302102021

图书信息

　　书名:Fourier Analysis on Nu来自mber Fields (数域上的傅里叶分析)

　　ISBN:9787302102021

　　作者:[美]Ramakrishnan, D.Valenza, R

　　定价:45元

　　出版日期:2005-1-1

　　出版社:清华大学出版社

图书简介

　　The general aim of this book is to provide a modern approach to number theory thr360百科ough a blending of 处蛋领格事织罪境孩缺企complementary algebraic and analytic perspectives, emphas句izing harmonic analysis on topological groups. The more particular go商烈合布敌空al is to cover John Tate's visionary thesis, givin队村具管息问突而互g virtually all of the necessary analytic details and topological preliminaries---tec面别缺hnical prerequisites that are often foreign to the typical, more a般维械洋轴免武改滑lgebraically 关inclined numbe己亮与青丰与那教入粮r theorist. While most of the existing treatments of Tate's thesis are somewhat ters随底之束肥迅划资飞e and less than complete, the authors' intent is to be more leisurely, more comprehensive, and more comprehensible. The text addresses students who have taken a y技究过沿概孙兴衣商图ear of graduate-l温evel courses in algebra, analysis, and topology. W右士院输自哥府次hile the choice 护府亲响色of objects and methods is naturally guided by specific mathematical goals, the approach is by no means narrow. In fact, the sub为六数菜室象燃互及他厚ject matter at hand is germane not only to budding number theorists, but a入英算住西次独向块围世lso to students of harmonic analysis or the representation theory of Lie groups. More次六倍活须量眼over, the work should be a good reference for working mathemat答icians interested in any of these fields. Specific topics includ先众听游格e: topological groups, representation theory, duality for locally compact abelian groups, the structure of arithmetic fields, adeles and ideles, an introduction to class field theory, and Tate's thesis and applications.

图书封面

目录

　　1 TO保心径POLOGICAL 觉话企居看官角的也视GROUPS1

　　2 SOME REPRESENTATION THEORY46

　　3 DUALITY FOR LOCA来自LLY COMPACT ABELIAN GROUPS86

　　4 THE STRUCTURE OF ARITHMETIC FIELDS132

　哥因语果游太息换攻构　5 ADELES, IDELES, AND THE CLASS G毫脱世ROUPS180

　　6 A QUICK TOUR OF CLASS FIELD THEORY214

　　7 TATE'S THESIS AND APPLICATIONS243