Abstract
In this chapter we present the complete theory developed in this book for the simplest case to which it can be applied, that of a finite abelian group. In this case no analytic tools are required, and only a small amount of group theory is needed in order to understand the concept of the duality and the Plancherel theorem.
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© 2002 Springer Science+Business Media New York
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Deitmar, A. (2002). Finite Abelian Groups. In: A First Course in Harmonic Analysis. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3834-6_4
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DOI: https://doi.org/10.1007/978-1-4757-3834-6_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-3836-0
Online ISBN: 978-1-4757-3834-6
eBook Packages: Springer Book Archive