作者：休伊特
页数：519
出版社：世界图书出版公司
出版日期：2014
ISBN：9787510070334
电子书格式：pdf/epub/txt
内容简介
本书是Springer专著系列之一，分为上下两卷，这是第一卷。书的内容以作者在Washington 大学和Uppsala大学的教程为基础，增加扩充整理而来的。旨在为实分析、集理论拓扑和代数专业的研究生提供可读的教程，也就是说读者应该对基本集合理论、集理论拓扑和代数有一定的了解。从基本的符号、术语、群理论、和拓扑开始，介绍了拓扑群理论基础、局部紧空间上的积分和不变泛函。在本书的结尾处讲述了卷积、群表示、特征、局部紧阿贝尔群的对偶。
作者简介
Edwin Hewitt, Kenneth A. Ross是国际知名学者，在数学和物理学界享有盛誉。本书凝聚了作者多年科研和教学成果，适用于科研工作者、高校教师和研究生。
本书特色
it has not been possible to rewrite the entire book for this second edition. it would have been gratifying to resurvey the theory of topo-logical groups in the light of progress made in the period t962–t978, to amplify some sections and curtail others, and in general to profit from our experience since the book was published. market conditions and other commitments incurred by the authors have dictated otherwise. we have nonetheless taken advantage of the kindness of springer-verlag to make a number of improvements in the text and of course to correct misprints and mathematical blunders.
目录
prefaceschapter one: preliminaries section 1. notation and terminology section 2. group theory section 3. topologychapter two: elements of the theory of topological groups section 4. basic definitions and facts section 5. subgroups and quotient groups section 6. product groups arid projective limits section 7. properties of topological groups involving connectedness section 8. invariant pseudo-metrics and separation axioms section 9. structure theory for compact and locally compact abeliangroups section 10. some special locally compact abel/an groupschapter three: integration on locally compact spaces section 11. extension of a linear functional and construction of a measure section 12. the spaces section 13. integration on product spaces section 14. complex measureschapter four: invariant functionals section 15. the haar integral . section 16. more about haar measure section 17. invariant means defined for all bounded functions section |8. invariant means on almost periodic functionschapter five: convolutions and group representations section t9. introduction to convolutions section 20. convolutions of functions and measures section 2|. introduction to representation theory section 22. unitary representations of locally compact groupschapter six: characters and duality of locally compact abelian groups section 23. the character group of a locally compact abelian group section 24. the duality theorem section 25. special structure theorems section 26. miscellaneous consequences of the duality theoremappendix a: abelian groupsb: topological linear spacesc: introduction to normed algebrasbibliographyindex of symbolsindex of authors and terms
