Structure of topological groups, integration theory, group representations

Structure of topological groups, integration theory, group representations
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拓扑群的结构、积分理论、群表示

DOI:
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发表时间:
1963
期刊:
影响因子:
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通讯作者:
K. Ross
K. Ross
中科院分区:
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文献类型:
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作者:
E. Hewitt;K. Ross

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这本书是根据E.华盛顿大学和乌普萨拉大学的休伊特。这本书的目的是可读的学生谁有基本的研究生课程在真实的分析,集理论拓扑,代数。也就是说,读者应该知道初等集合论,集合论拓扑,测度论和代数。这本书开始在符号和术语,群论和拓扑学的matharies。它继续与元素的理论拓扑群,一体化的局部紧空间,不变的泛函。这本书的结论与卷积和团体表示,和字符和对偶的局部紧凑阿贝尔团体。
The book is based on courses given by E. Hewitt at the University of Washington and the University of Uppsala. The book is intended to be readable by students who have had basic graduate courses in real analysis, set-theoretic topology, and algebra. That is, the reader should know elementary set theory, set-theoretic topology, measure theory, and algebra. The book begins with preliminaries in notation and terminology, group theory, and topology. It continues with elements of the theory of topological groups, the integration on locally compact spaces, and invariant functionals. The book concludes with convolutions and group representations, and characters and duality of locally compact Abelian groups.