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Pontryagin Duality and the Structure of Locally Compact Abelian Groups (London Mathematical Society Lecture Note Series)

Sidney A. Morris




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 | #4389353 in Books |  Cambridge University Press |  1977-08-26 | Original language:English | PDF # 1 |  9.02 x.31 x5.98l,.47 | File type: PDF | 140 pages

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These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for firs...

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