Abstract
Section 1 constructs Haar measure on a locally compact group G, by a method of H. Cartan. Certain least upper bounds must be proved to exist in order to make the classical proof constructive; this adds length to the classical treatment. In Section 2 convolution is defined and the group algebra is studied.
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© 1985 Springer-Verlag Berlin Heidelberg
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Bishop, E., Bridges, D. (1985). Locally Compact Abelian Groups. In: Constructive Analysis. Grundlehren der mathematischen Wissenschaften, vol 279. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61667-9_9
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DOI: https://doi.org/10.1007/978-3-642-61667-9_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64905-9
Online ISBN: 978-3-642-61667-9
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