A course in abstract harmonic analysis

1星价 ¥85.1 (8.6折)

2星价￥85.1 定价￥99.0

作者：Gerald B. Folland[著]

出版社：世界图书出版公司

本类榜单：自然科学

分类：自然科学 > 数学

暂无评论

图文详情

ISBN：9787519283728
装帧：一般胶版纸
册数：暂无
重量：暂无
开本：24cm
页数：305页
出版时间：2022-08-01
条形码：9787519283728 ; 978-7-5192-8372-8

本书特色

《抽象调和分析教程第2版》是分析大师、《实分析》作者Gerald B. Folland教授所撰写的又一部分析经典名著。自1995年首版以来已成为抽象调和分析领域国际上广泛采用的经典教材，书中主要介绍局部紧群上的调和分析，写作风格保持了作者一贯的简明易懂并且优美。

内容简介

　　The term "harmonic analysis" is a flexible one that has been used to denote a lot of different things. In this book I take it to mean those parts of analysis in which the action of a locally compact group plays an essential role： more specifically， the theory of unitary representations of locally compact groups， and the analysis of functions on such groups and their homogeneous spaces.　　The purpose of this book is to give an exposition of the fundamen-tal ideas and theorems of that portion of harmonic analysis that can be developed with minimal assumptions on the nature of the group with which one is working. This theory was mostly developed in the period from 1927 （the date of the Peter-Weyl theorem） through the 1960s. Since that time， research in harmonic analysis has proceeded in other direc-tions， mostly on a more concrete level， so one may ask what is the excuse for a new book on the abstract theory at this time.　　Well， in the first place， I submit that the material presented here is beautiful. I fell in love with it as a student， and this book is the fulfillment of a long-held promise to myself to return to it. In the second place，the abstract theory is still an indispensable foundation for the study of concrete cases; it shows what the general picture should look like and provides a number of results that are useful again and again. Moreover the intervening years have produced few if any books with the scope of the present one. One can find expositions of various bits and pieces of this subject in a lot of places， and there are a few lengthy treatises in which one can perhaps learn more about certain aspects of it than one wants to know.

Preface Banach Algebras and Spectral Theory Locally Compact Groups Basic Representation Theory Analysis on Locally Compact Abelian Groups Analysis on Compact Groups Induced Representations Further Topics in Representation Theory Appendix 1. A Hilbert Space Miscellany Appendix 2. Trace-Class and Hilbert-Schmidt Operators Appendix 3. Tensor Products of Hilbert Spaces Appendix 4. Vector-Valued Integrals

展开全部

作者简介

Gerald B. Folland，1953年于美国普林斯顿大学获得数学博士学位，现任美国华盛顿大学西雅图分校数学系教授。早年师从分析大师E．M．Stein学习，在调和分析、复分析、微分方程等领域都有着杰出的贡献。他的著作《相空间中的分析》、《抽象调和分析》、《实分析》等一直是国内外数学专业以及相关专业研究生的重要参考书籍。

本类五星书