Pontryagin Duality and the Structure of Locally Compact Abelian Groups / Sidney A. Morris.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 29Publisher: Cambridge : Cambridge University Press, 1977Description: 1 online resource (140 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511600722 (ebook)Other title: Pontryagin Duality & the Structure of Locally Compact Abelian GroupsSubject(s): Locally compact Abelian groups | Duality theory (Mathematics) | Pontrjagin dualityAdditional physical formats: Print version: : No titleDDC classification: 512/.55 LOC classification: QA387 | .M67Online resources: Click here to access online Summary: 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12131 |
Title from publisher's bibliographic system (viewed on 16 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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