“Haar measure”的概念、定义、习题解题方法及翻译-数学辞典

单词

Haar measure

释义

Haar measure

For a locally compact topological group G there exists a non-trivial measure μ on the Borel sets such that

μ is invariant meaning μ(gS) = μ(S) for a Borel set S and g ∈ G.

μ is countably additive meaning $inline$ for disjoint Sk.

μ(S) is finite for any compact Borel set S.

μ is unique up to a multiplication by a positive scalar.

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