Pontryagin duality and the structure of locally compact abelian groups / Sidney A. Morris.
Material type:
TextSeries: London Mathematical Society lecture note series ; 29.Publisher: Cambridge : Cambridge University Press, 1977Description: 1 online resource (viii, 128 pages) : digital, PDF file(s)Content type: - text
- computer
- online resource
- 9780511600722 (ebook)
- Pontryagin Duality & the Structure of Locally Compact Abelian Groups
- 512/.55 19
- QA387 .M67 1977
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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 first-year graduate courses.
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