locally compact group

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英文释义

名词 n.
  1. A topological group whose underlying topology is both locally compact and Hausdorff.
    — Indeed, if there is one property of locally compact groups more responsible than any other for the rich positive content of their representation theory, it is their possession of left-invariant and right-invariant (Haar) measures. The connection between the representation theory of a locally compact group and that of general Banach algebras proceeds directly from Lebesgue integration with respect to Haar measure on the group.

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