Abstract
The purpose of the present chapter is to set down in a precise fashion the main facts as regards the structure of the unitary dual Ĝ of a locally compact group G (which satisfies the second axiom of countability, say). Since these topics are dealt with more than adequately by Dixmier [15], we shall give very few proofs; instead we shall be content to look at a number of examples which serve to illustrate the abstract theory, full details being provided in the case of a semi-simple G.
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© 1972 Springer-Verlag Berlin Heidelberg
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Warner, G. (1972). Topology on the Dual Plancherel Measure. In: Harmonic Analysis on Semi-Simple Lie Groups II. Die Grundlehren der mathematischen Wissenschaften, vol 189. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51640-5_2
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DOI: https://doi.org/10.1007/978-3-642-51640-5_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-51642-9
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