Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
ergodic theory
number theory quantum mechanics representation theory |
| gptkbp:citation |
Hewitt, Edwin; Ross, Kenneth A. Abstract Harmonic Analysis
Weil, André. L'intégration dans les groupes topologiques et ses applications Pontryagin, Lev. Topological Groups |
| gptkbp:example |
gptkb:circle_group
finite groups real numbers under addition p-adic numbers under addition matrix groups over local fields |
| gptkbp:field |
gptkb:mathematics
gptkb:topology group theory harmonic analysis |
| gptkbp:generalizes |
gptkb:Lie_groups
finite groups discrete groups compact groups |
| gptkbp:hasProperty |
locally compact
|
| gptkbp:heldBy |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Locally compact groups
|
| gptkbp:important_theorem |
gptkb:Pontryagin_duality
Haar measure exists |
| gptkbp:structure |
gptkb:group_of_people
gptkb:locally_compact_Hausdorff_space |
| gptkbp:studiedBy |
gptkb:André_Weil
gptkb:John_von_Neumann gptkb:Eberhard_Hopf |
| gptkbp:bfsParent |
gptkb:Topological_Groups
|
| gptkbp:bfsLayer |
6
|