Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
locally compact abelian groups
|
| gptkbp:category |
duality theory
|
| gptkbp:describes |
duality between a group and its character group
|
| gptkbp:field |
gptkb:mathematics
gptkb:topology harmonic analysis |
| gptkbp:hasApplication |
gptkb:signal_processing
group theory number theory abstract harmonic analysis |
| gptkbp:hasConcept |
gptkb:dual_group
character group |
| https://www.w3.org/2000/01/rdf-schema#label |
Pontryagin duality
|
| gptkbp:introducedIn |
1930s
|
| gptkbp:namedAfter |
gptkb:Lev_Pontryagin
|
| gptkbp:relatedTo |
gptkb:Pontryagin_duality_theorem
gptkb:Tannaka–Krein_duality |
| gptkbp:result |
the dual of the dual group is canonically isomorphic to the original group
|
| gptkbp:usedIn |
Fourier analysis
representation theory |
| gptkbp:bfsParent |
gptkb:torus_group
gptkb:Lev_Pontryagin gptkb:Lie_group |
| gptkbp:bfsLayer |
5
|