Haar measure (Q1162676)
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left-invariant (or right-invariant) measure on locally compact topological group
- left Haar measure
- right Haar measure
- Haar integral
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Haar measure |
left-invariant (or right-invariant) measure on locally compact topological group |
|
Statements
1933
0 references
![{\displaystyle {\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}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2d9d06d0e23c39a9db911978594eaca1497a686b)
0 references
Identifiers
1 reference
Sitelinks
Wikipedia(20 entries)
- cawiki Mesura de Haar
- cswiki Haarova míra
- dewiki Haarsches Maß
- elwiki Μέτρο του Χάαρ
- enwiki Haar measure
- eswiki Medida de Haar
- fiwiki Haarin mitta
- frwiki Mesure de Haar
- hewiki מידת האר
- itwiki Misura di Haar
- jawiki ハール測度
- kowiki 하르 측도
- nlwiki Haar-maat
- plwiki Miara Haara
- ptwiki Medida de Haar
- ruwiki Мера Хаара
- srwiki Харова мера
- svwiki Haarmått
- ukwiki Міра Хаара
- zhwiki 哈尔测度