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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 first-year graduate courses.
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