Abstract
In this chapter we further develop the general theory of LCA groups in showing that the group of all characters of a given LCA group is again an LCA group. This then paves the way for Pontryagin duality.
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© 2002 Springer Science+Business Media New York
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Deitmar, A. (2002). The Dual Group. In: A First Course in Harmonic Analysis. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3834-6_6
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DOI: https://doi.org/10.1007/978-1-4757-3834-6_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-3836-0
Online ISBN: 978-1-4757-3834-6
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