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  3. Pontryagin Duality and the Structure of Locally Compact Abelian Groups
  • Cited by 156
Publisher:
Cambridge University Press
Online publication date:
November 2009
Print publication year:
1977
Online ISBN:
9780511600722
DOI:
https://doi.org/10.1017/CBO9780511600722
Subjects:
Mathematics (general), Mathematics, Algebra
Series:
London Mathematical Society Lecture Note Series (29)
Information

Book description

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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