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Haar Measure

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Lie Groups

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 225))

Abstract

If G is a locally compact group, there is, up to a constant multiple, a unique regular Borel measure μ L that is invariant under left translation. Here left translation invariance means that μ (X) = μ ( g X) for all measurable sets X.

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© 2004 Springer Science+Business Media New York

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Bump, D. (2004). Haar Measure. In: Lie Groups. Graduate Texts in Mathematics, vol 225. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4094-3_1

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  • DOI: https://doi.org/10.1007/978-1-4757-4094-3_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-1937-3

  • Online ISBN: 978-1-4757-4094-3

  • eBook Packages: Springer Book Archive

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