Haar measure
(Q1162676)
left-invariant (or right-invariant) measure on locally compact topological group
left-invariant (or right-invariant) measure on locally compact topological group
Language:
Current Data About
Haar measure
| (P31) |
(Q24034552)
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| (P61) |
(Q551909)
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| (P138) |
(Q551909)
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| (P279) |
(Q192276)
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| (P575) |
+1933-00-00T00:00:00Z
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| (P2534) |
\begin{aligned}&\mu\colon\operatorname{Borel}(G)\to[0,\infty]\\&\forall g\in G,S\in\operatorname{Borel}(G)\colon\mu(gS)=\mu(S)\\&\mu(S)=\inf\{\mu(U)\colon S\subset U\in\operatorname{Open}(G)\}=\sup\{\mu(K)\colon S\supset K\in\operatorname{Comp}(X)\end{aligned}
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| (P2579) |
(Q874429)
(Q15614122) |
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| (P6104) |
(Q8487137)
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| (P7235) |
\mu
G
\operatorname{Borel}(G)
\operatorname{Open}(G)
\inf
\sup
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other details
| aliases |
left Haar measure right Haar measure Haar integral |
| description | left-invariant (or right-invariant) measure on locally compact topological group |
External Links
| (P646) |
/m/0b403
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| (P2812) |
HaarMeasure
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| (P3285) |
20H05
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| (P4215) |
Haar integral
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| (P6366) |
130805567
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| (P6781) |
Definition:Haar_Measure
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| (P7554) |
Haar_measure
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| (P10283) |
C130805567
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| (P10376) |
mathematics/haar-measure
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